In addition, the selection rejig paid dividends by allowing an extra all-rounder to feature. Jimmy Neesham's 48 off 45 balls bolstered the middle order batting.
New Zealand's innings survival rested with Neesham and Broom, who came together in the 26th over at 134 for five after a spate of wickets. The pair put on 76 in 77 balls.
Broom continued the form which resurrected his international career against Bangladesh, posting his third consecutive ODI half-century or better after 109 not out and 97 in Nelson over the festive season. The 33-year-old top-scored with 73 off 75 balls and could be a force to be reckoned with during the mid-year Champions Trophy in England.
He is further justifying the considerable efforts to get him released from his Derbyshire contract.
Since the World Cup, Brendon and Nathan McCullum, Daniel Vettori, Kyle Mills and Grant Elliott have retired from the ODI format for New Zealand. Regulars of recent seasons - Corey Anderson, Mitchell McClenaghan, Adam Milne and Ross Taylor - have also been injured of late.
The way Broom and Latham have assumed the extra responsibility is a welcome boon.
"Tom put together a tidy, unblemished display [with the gloves]," coach Mike Hesson said.
"The thing a lot of people don't realise is that he's been a wicketkeeper most of his life. It's not a makeshift move. For a couple of years he was focused on opening the batting, and we've encouraged that.
"Now he's at point in his career where he's doing that [the keeping] as well. It's not an option in test cricket, but in ODIs it's an area where he's got a lot of skill."
Hesson confirmed Broom would be sticking at No.5 for the series.
"He's shown the experience we like, and he's calm. [Yesterday's innings] was another example of what he did against Bangladesh in pressure situations.
"We're missing Grant Elliott [this season] and the experience we had in the middle from Neil is performing that role for us."