Finding the Fourth Proportional to 105.34, 159.10 and 105.34

Step by Step Solution

1. Step 1: Write the proportion equation
   105.34 : 159.10 = 105.34 : x
2. Step 2: Convert to fraction form
   105.34/159.10 = 105.34/x
3. Step 3: Cross multiply
   105.34x = 159.10 × 105.34
4. Step 4: Simplify right side
   105.34x = 16,759.59
5. Step 5: Solve for x
   x = 16,759.59/105.34
6. Step 6: Final answer
   x = 159.10