Finding the Fourth Proportional to 109.52, 164.59 and 105.48

Step by Step Solution

1. Step 1: Write the proportion equation
   109.52 : 164.59 = 105.48 : x
2. Step 2: Convert to fraction form
   109.52/164.59 = 105.48/x
3. Step 3: Cross multiply
   109.52x = 164.59 × 105.48
4. Step 4: Simplify right side
   109.52x = 17,360.95
5. Step 5: Solve for x
   x = 17,360.95/109.52
6. Step 6: Final answer
   x = 158.52