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Finding the Fourth Proportional to 39.62, 54.71 and 31.42

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Solution

The fourth proportional to 39.62, 54.71 and 31.42 is: 43.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.62 : 54.71 = 31.42 : x
  2. Step 2: Convert to fraction form
    39.62/54.71 = 31.42/x
  3. Step 3: Cross multiply
    39.62x = 54.71 × 31.42
  4. Step 4: Simplify right side
    39.62x = 1,719.02
  5. Step 5: Solve for x
    x = 1,719.02/39.62
  6. Step 6: Final answer
    x = 43.38

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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.