Finding the Fourth Proportional to 109.64, 164.72 and 103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109.64 : 164.72 = 103.50 : x
2. Step 2: Convert to fraction form
   109.64/164.72 = 103.50/x
3. Step 3: Cross multiply
   109.64x = 164.72 × 103.50
4. Step 4: Simplify right side
   109.64x = 17,048.52
5. Step 5: Solve for x
   x = 17,048.52/109.64
6. Step 6: Final answer
   x = 155.50