Finding the Fourth Proportional to 102.96, 141.90 and 71.82

Step by Step Solution

1. Step 1: Write the proportion equation
   102.96 : 141.90 = 71.82 : x
2. Step 2: Convert to fraction form
   102.96/141.90 = 71.82/x
3. Step 3: Cross multiply
   102.96x = 141.90 × 71.82
4. Step 4: Simplify right side
   102.96x = 10,191.26
5. Step 5: Solve for x
   x = 10,191.26/102.96
6. Step 6: Final answer
   x = 98.98