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Finding the Fourth Proportional to 39.18, 54.02 and 31.31

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Solution

The fourth proportional to 39.18, 54.02 and 31.31 is: 43.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.18 : 54.02 = 31.31 : x
  2. Step 2: Convert to fraction form
    39.18/54.02 = 31.31/x
  3. Step 3: Cross multiply
    39.18x = 54.02 × 31.31
  4. Step 4: Simplify right side
    39.18x = 1,691.35
  5. Step 5: Solve for x
    x = 1,691.35/39.18
  6. Step 6: Final answer
    x = 43.16

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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.