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Finding the Fourth Proportional to 47.92, 71.90 and 17.49

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Solution

The fourth proportional to 47.92, 71.90 and 17.49 is: 26.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.92 : 71.90 = 17.49 : x
  2. Step 2: Convert to fraction form
    47.92/71.90 = 17.49/x
  3. Step 3: Cross multiply
    47.92x = 71.90 × 17.49
  4. Step 4: Simplify right side
    47.92x = 1,257.53
  5. Step 5: Solve for x
    x = 1,257.53/47.92
  6. Step 6: Final answer
    x = 26.24

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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.