Finding the Fourth Proportional to 105.29, 158.27 and 102.05

Step by Step Solution

1. Step 1: Write the proportion equation
   105.29 : 158.27 = 102.05 : x
2. Step 2: Convert to fraction form
   105.29/158.27 = 102.05/x
3. Step 3: Cross multiply
   105.29x = 158.27 × 102.05
4. Step 4: Simplify right side
   105.29x = 16,151.45
5. Step 5: Solve for x
   x = 16,151.45/105.29
6. Step 6: Final answer
   x = 153.40