Finding the Fourth Proportional to 106.06, 146.31 and 71.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106.06 : 146.31 = 71.50 : x
2. Step 2: Convert to fraction form
   106.06/146.31 = 71.50/x
3. Step 3: Cross multiply
   106.06x = 146.31 × 71.50
4. Step 4: Simplify right side
   106.06x = 10,461.17
5. Step 5: Solve for x
   x = 10,461.17/106.06
6. Step 6: Final answer
   x = 98.63