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Finding the Fourth Proportional to 31.52, 47.40 and 29.71

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Solution

The fourth proportional to 31.52, 47.40 and 29.71 is: 44.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.52 : 47.40 = 29.71 : x
  2. Step 2: Convert to fraction form
    31.52/47.40 = 29.71/x
  3. Step 3: Cross multiply
    31.52x = 47.40 × 29.71
  4. Step 4: Simplify right side
    31.52x = 1,408.25
  5. Step 5: Solve for x
    x = 1,408.25/31.52
  6. Step 6: Final answer
    x = 44.68

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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.