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Finding the Fourth Proportional to 39.20, 54.14 and 36.14

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Solution

The fourth proportional to 39.20, 54.14 and 36.14 is: 49.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.20 : 54.14 = 36.14 : x
  2. Step 2: Convert to fraction form
    39.20/54.14 = 36.14/x
  3. Step 3: Cross multiply
    39.20x = 54.14 × 36.14
  4. Step 4: Simplify right side
    39.20x = 1,956.17
  5. Step 5: Solve for x
    x = 1,956.17/39.20
  6. Step 6: Final answer
    x = 49.91

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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.