Answer:
Proportion states that two ratios or fractions are equal.
Let x be the price of the shoes last week.
As per the statement:
The price of a pair of shoes is $52.
The price is 15% lower than last week.
by definition we have;

by cross multiply we have;

Divide both sides by 85 we have;
x = $61.1764706
Therefore, the price of the shoes last week to the nearest cent was $61.18