Finding the Fourth Proportional to 105.35, 158.05 and 32.23

Step by Step Solution

1. Step 1: Write the proportion equation
   105.35 : 158.05 = 32.23 : x
2. Step 2: Convert to fraction form
   105.35/158.05 = 32.23/x
3. Step 3: Cross multiply
   105.35x = 158.05 × 32.23
4. Step 4: Simplify right side
   105.35x = 5,093.95
5. Step 5: Solve for x
   x = 5,093.95/105.35
6. Step 6: Final answer
   x = 48.35