Finding the Fourth Proportional to 111.50, 167.42 and 106.02

Step by Step Solution

1. Step 1: Write the proportion equation
   111.50 : 167.42 = 106.02 : x
2. Step 2: Convert to fraction form
   111.50/167.42 = 106.02/x
3. Step 3: Cross multiply
   111.50x = 167.42 × 106.02
4. Step 4: Simplify right side
   111.50x = 17,749.87
5. Step 5: Solve for x
   x = 17,749.87/111.50
6. Step 6: Final answer
   x = 159.19