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Finding the Fourth Proportional to 104.57, 144.36 and 80.04

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Solution

The fourth proportional to 104.57, 144.36 and 80.04 is: 110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.57 : 144.36 = 80.04 : x
  2. Step 2: Convert to fraction form
    104.57/144.36 = 80.04/x
  3. Step 3: Cross multiply
    104.57x = 144.36 × 80.04
  4. Step 4: Simplify right side
    104.57x = 11,554.57
  5. Step 5: Solve for x
    x = 11,554.57/104.57
  6. Step 6: Final answer
    x = 110.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.