Finding the Fourth Proportional to 111.63, 167.15 and 102.00

Step by Step Solution

1. Step 1: Write the proportion equation
   111.63 : 167.15 = 102.00 : x
2. Step 2: Convert to fraction form
   111.63/167.15 = 102.00/x
3. Step 3: Cross multiply
   111.63x = 167.15 × 102.00
4. Step 4: Simplify right side
   111.63x = 17,049.21
5. Step 5: Solve for x
   x = 17,049.21/111.63
6. Step 6: Final answer
   x = 152.73