Finding the Fourth Proportional to 109.04, 164.59 and 109.04

Step by Step Solution

1. Step 1: Write the proportion equation
   109.04 : 164.59 = 109.04 : x
2. Step 2: Convert to fraction form
   109.04/164.59 = 109.04/x
3. Step 3: Cross multiply
   109.04x = 164.59 × 109.04
4. Step 4: Simplify right side
   109.04x = 17,945.80
5. Step 5: Solve for x
   x = 17,945.80/109.04
6. Step 6: Final answer
   x = 164.59