Finding the Fourth Proportional to 111.69, 167.63 and 71.06

Step by Step Solution

1. Step 1: Write the proportion equation
   111.69 : 167.63 = 71.06 : x
2. Step 2: Convert to fraction form
   111.69/167.63 = 71.06/x
3. Step 3: Cross multiply
   111.69x = 167.63 × 71.06
4. Step 4: Simplify right side
   111.69x = 11,910.59
5. Step 5: Solve for x
   x = 11,910.59/111.69
6. Step 6: Final answer
   x = 106.64