Finding the Fourth Proportional to 101.86, 152.52 and 71.32

Step by Step Solution

1. Step 1: Write the proportion equation
   101.86 : 152.52 = 71.32 : x
2. Step 2: Convert to fraction form
   101.86/152.52 = 71.32/x
3. Step 3: Cross multiply
   101.86x = 152.52 × 71.32
4. Step 4: Simplify right side
   101.86x = 10,877.73
5. Step 5: Solve for x
   x = 10,877.73/101.86
6. Step 6: Final answer
   x = 106.79