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Finding the Fourth Proportional to 39.24, 54.17 and 31.02

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Solution

The fourth proportional to 39.24, 54.17 and 31.02 is: 42.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.24 : 54.17 = 31.02 : x
  2. Step 2: Convert to fraction form
    39.24/54.17 = 31.02/x
  3. Step 3: Cross multiply
    39.24x = 54.17 × 31.02
  4. Step 4: Simplify right side
    39.24x = 1,680.20
  5. Step 5: Solve for x
    x = 1,680.20/39.24
  6. Step 6: Final answer
    x = 42.82

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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.