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Finding the Fourth Proportional to 104.80, 144.42 and 77.13

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Solution

The fourth proportional to 104.80, 144.42 and 77.13 is: 106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.80 : 144.42 = 77.13 : x
  2. Step 2: Convert to fraction form
    104.80/144.42 = 77.13/x
  3. Step 3: Cross multiply
    104.80x = 144.42 × 77.13
  4. Step 4: Simplify right side
    104.80x = 11,139.11
  5. Step 5: Solve for x
    x = 11,139.11/104.80
  6. Step 6: Final answer
    x = 106.29

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