Finding the Fourth Proportional to 166.16, 229.34 and 100.71

Step by Step Solution

1. Step 1: Write the proportion equation
   166.16 : 229.34 = 100.71 : x
2. Step 2: Convert to fraction form
   166.16/229.34 = 100.71/x
3. Step 3: Cross multiply
   166.16x = 229.34 × 100.71
4. Step 4: Simplify right side
   166.16x = 23,096.83
5. Step 5: Solve for x
   x = 23,096.83/166.16
6. Step 6: Final answer
   x = 139.00