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Finding the Fourth Proportional to 31.74, 47.59 and 14.61

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Solution

The fourth proportional to 31.74, 47.59 and 14.61 is: 21.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.74 : 47.59 = 14.61 : x
  2. Step 2: Convert to fraction form
    31.74/47.59 = 14.61/x
  3. Step 3: Cross multiply
    31.74x = 47.59 × 14.61
  4. Step 4: Simplify right side
    31.74x = 695.47
  5. Step 5: Solve for x
    x = 695.47/31.74
  6. Step 6: Final answer
    x = 21.91

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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.