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Finding the Fourth Proportional to 47.57, 71.34 and 29.66

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Solution

The fourth proportional to 47.57, 71.34 and 29.66 is: 44.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.57 : 71.34 = 29.66 : x
  2. Step 2: Convert to fraction form
    47.57/71.34 = 29.66/x
  3. Step 3: Cross multiply
    47.57x = 71.34 × 29.66
  4. Step 4: Simplify right side
    47.57x = 2,115.59
  5. Step 5: Solve for x
    x = 2,115.59/47.57
  6. Step 6: Final answer
    x = 44.48

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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.