Finding the Fourth Proportional to 102.02, 152.50 and 82.52

Step by Step Solution

1. Step 1: Write the proportion equation
   102.02 : 152.50 = 82.52 : x
2. Step 2: Convert to fraction form
   102.02/152.50 = 82.52/x
3. Step 3: Cross multiply
   102.02x = 152.50 × 82.52
4. Step 4: Simplify right side
   102.02x = 12,584.30
5. Step 5: Solve for x
   x = 12,584.30/102.02
6. Step 6: Final answer
   x = 123.35