Finding the Fourth Proportional to 109.52, 164.23 and 32.48

Step by Step Solution

1. Step 1: Write the proportion equation
   109.52 : 164.23 = 32.48 : x
2. Step 2: Convert to fraction form
   109.52/164.23 = 32.48/x
3. Step 3: Cross multiply
   109.52x = 164.23 × 32.48
4. Step 4: Simplify right side
   109.52x = 5,333.23
5. Step 5: Solve for x
   x = 5,333.23/109.52
6. Step 6: Final answer
   x = 48.70