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Finding the Fourth Proportional to 31.71, 47.56 and 16.49

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Solution

The fourth proportional to 31.71, 47.56 and 16.49 is: 24.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.71 : 47.56 = 16.49 : x
  2. Step 2: Convert to fraction form
    31.71/47.56 = 16.49/x
  3. Step 3: Cross multiply
    31.71x = 47.56 × 16.49
  4. Step 4: Simplify right side
    31.71x = 783.94
  5. Step 5: Solve for x
    x = 783.94/31.71
  6. Step 6: Final answer
    x = 24.73

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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.