Finding the Fourth Proportional to 102.50, 141.35 and 71.42

Step by Step Solution

1. Step 1: Write the proportion equation
   102.50 : 141.35 = 71.42 : x
2. Step 2: Convert to fraction form
   102.50/141.35 = 71.42/x
3. Step 3: Cross multiply
   102.50x = 141.35 × 71.42
4. Step 4: Simplify right side
   102.50x = 10,094.15
5. Step 5: Solve for x
   x = 10,094.15/102.50
6. Step 6: Final answer
   x = 98.48