Finding the Fourth Proportional to 166.31, 229.43 and 100.82

Step by Step Solution

1. Step 1: Write the proportion equation
   166.31 : 229.43 = 100.82 : x
2. Step 2: Convert to fraction form
   166.31/229.43 = 100.82/x
3. Step 3: Cross multiply
   166.31x = 229.43 × 100.82
4. Step 4: Simplify right side
   166.31x = 23,131.96
5. Step 5: Solve for x
   x = 23,131.96/166.31
6. Step 6: Final answer
   x = 139.09