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Finding the Fourth Proportional to 31.67, 47.46 and 24.88

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Solution

The fourth proportional to 31.67, 47.46 and 24.88 is: 37.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.67 : 47.46 = 24.88 : x
  2. Step 2: Convert to fraction form
    31.67/47.46 = 24.88/x
  3. Step 3: Cross multiply
    31.67x = 47.46 × 24.88
  4. Step 4: Simplify right side
    31.67x = 1,180.57
  5. Step 5: Solve for x
    x = 1,180.57/31.67
  6. Step 6: Final answer
    x = 37.28

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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.