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Finding the Fourth Proportional to 44.20, 66.17 and 37.74

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Solution

The fourth proportional to 44.20, 66.17 and 37.74 is: 56.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.20 : 66.17 = 37.74 : x
  2. Step 2: Convert to fraction form
    44.20/66.17 = 37.74/x
  3. Step 3: Cross multiply
    44.20x = 66.17 × 37.74
  4. Step 4: Simplify right side
    44.20x = 2,496.74
  5. Step 5: Solve for x
    x = 2,496.74/44.20
  6. Step 6: Final answer
    x = 56.49

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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.