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Finding the Fourth Proportional to 39.28, 58.92 and 31.27

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Solution

The fourth proportional to 39.28, 58.92 and 31.27 is: 46.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.28 : 58.92 = 31.27 : x
  2. Step 2: Convert to fraction form
    39.28/58.92 = 31.27/x
  3. Step 3: Cross multiply
    39.28x = 58.92 × 31.27
  4. Step 4: Simplify right side
    39.28x = 1,842.43
  5. Step 5: Solve for x
    x = 1,842.43/39.28
  6. Step 6: Final answer
    x = 46.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.