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Finding the Fourth Proportional to 37.66, 51.91 and 29.92

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Solution

The fourth proportional to 37.66, 51.91 and 29.92 is: 41.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.66 : 51.91 = 29.92 : x
  2. Step 2: Convert to fraction form
    37.66/51.91 = 29.92/x
  3. Step 3: Cross multiply
    37.66x = 51.91 × 29.92
  4. Step 4: Simplify right side
    37.66x = 1,553.15
  5. Step 5: Solve for x
    x = 1,553.15/37.66
  6. Step 6: Final answer
    x = 41.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.