Finding the Fourth Proportional to 105.50, 158.05 and 71.23

Step by Step Solution

1. Step 1: Write the proportion equation
   105.50 : 158.05 = 71.23 : x
2. Step 2: Convert to fraction form
   105.50/158.05 = 71.23/x
3. Step 3: Cross multiply
   105.50x = 158.05 × 71.23
4. Step 4: Simplify right side
   105.50x = 11,257.89
5. Step 5: Solve for x
   x = 11,257.89/105.50
6. Step 6: Final answer
   x = 106.71