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Finding the Fourth Proportional to 44.46, 61.17 and 42.14

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Solution

The fourth proportional to 44.46, 61.17 and 42.14 is: 57.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.46 : 61.17 = 42.14 : x
  2. Step 2: Convert to fraction form
    44.46/61.17 = 42.14/x
  3. Step 3: Cross multiply
    44.46x = 61.17 × 42.14
  4. Step 4: Simplify right side
    44.46x = 2,577.70
  5. Step 5: Solve for x
    x = 2,577.70/44.46
  6. Step 6: Final answer
    x = 57.98

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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.