Finding the Fourth Proportional to 111.28, 166.96 and 106.31

Step by Step Solution

1. Step 1: Write the proportion equation
   111.28 : 166.96 = 106.31 : x
2. Step 2: Convert to fraction form
   111.28/166.96 = 106.31/x
3. Step 3: Cross multiply
   111.28x = 166.96 × 106.31
4. Step 4: Simplify right side
   111.28x = 17,749.52
5. Step 5: Solve for x
   x = 17,749.52/111.28
6. Step 6: Final answer
   x = 159.50