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Finding the Fourth Proportional to 31.67, 47.49 and 10.29

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Solution

The fourth proportional to 31.67, 47.49 and 10.29 is: 15.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.67 : 47.49 = 10.29 : x
  2. Step 2: Convert to fraction form
    31.67/47.49 = 10.29/x
  3. Step 3: Cross multiply
    31.67x = 47.49 × 10.29
  4. Step 4: Simplify right side
    31.67x = 488.67
  5. Step 5: Solve for x
    x = 488.67/31.67
  6. Step 6: Final answer
    x = 15.43

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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.