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Finding the Fourth Proportional to 37.66, 51.96 and 24.74

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Solution

The fourth proportional to 37.66, 51.96 and 24.74 is: 34.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.66 : 51.96 = 24.74 : x
  2. Step 2: Convert to fraction form
    37.66/51.96 = 24.74/x
  3. Step 3: Cross multiply
    37.66x = 51.96 × 24.74
  4. Step 4: Simplify right side
    37.66x = 1,285.49
  5. Step 5: Solve for x
    x = 1,285.49/37.66
  6. Step 6: Final answer
    x = 34.13

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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.