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Finding the Fourth Proportional to 31.66, 47.41 and 24.85

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Solution

The fourth proportional to 31.66, 47.41 and 24.85 is: 37.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.66 : 47.41 = 24.85 : x
  2. Step 2: Convert to fraction form
    31.66/47.41 = 24.85/x
  3. Step 3: Cross multiply
    31.66x = 47.41 × 24.85
  4. Step 4: Simplify right side
    31.66x = 1,178.14
  5. Step 5: Solve for x
    x = 1,178.14/31.66
  6. Step 6: Final answer
    x = 37.21

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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.