The defeat sees England lose the Twenty20 series 3-0.
Australia hit 13 sixes, profiting on short straight boundaries, with skipper George Bailey taking 26 from the final over bowled by Jade Dernbach.
Bailey finished unbeaten on 49, from 20 balls, with opener Cameron White adding 41 in a total of 195 for six.
Stuart Broad had slowed Australia in the middle overs, returning three for 30, but Dernbach's forgettable series continued as his last over went: four, six, six, four, four, two.
That meant the right-armer returned figures of no wicket for 49 while in the series he has taken one wicket, with his 11 overs costing 142 runs.
Again, England's top order let them down with only Eoin Morgan (34) and Joe Root (11) reaching double figures as they set about the chase.
In fairness, England's abject performance was not helped by the unfortunate dismissal of Ravi Bopara for four, which hastened England’s loss.
Bopara, who produced a wonderful 65-run cameo in the first Twenty20 international in Hobart, saw an inside edge roll slowly toward the stumps to knock the bails off before he could get into any form of stride.
However, Dernbach’s dismissal was indicative of England’s disastrous tour as he was run out for one, with England skittled for 111.