After Australia declared at 216/7 to set England a target of 257 off 48 overs, the tourists took on the challenge with aplomb.
The 36-year-old, who picked 5/60 earlier in the day, was confident of her fighting back in the match on day three.
England have taken a 3-1 lead in the five-match series.
England women team captain Heather Knight has said the team had no say in the decision to pull out of the upcoming tour of Pakistan.
Wyatt, playing her first ODI since February, was adjudged Player of the Match.
India have only crossed 250 thrice since the 2017 World Cup, something the team has to do on a consistent basis to compete with the likes of England and Australia.
The England captain also praised Indian prodigy Shafali Verma, who hit 96 and 63 in the match, for her batting heroics.
The 27-year-old Rana, who had taken four wickets in the first innings with her off-spin, had made a national comeback with this game.
England's star all-rounder and newly-appointed vice captain Nat Sciver is among the six squad members who played in their last Test match against India back in August 2014.
England captain Heather Knight said the event was "feasible", differing with the ICC's decision to push it from next year to February-March of 2022 in view of the COVID-19 pandemic.