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Finding the Fourth Proportional to 44.78, 66.82 and 41.14

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Solution

The fourth proportional to 44.78, 66.82 and 41.14 is: 61.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.78 : 66.82 = 41.14 : x
  2. Step 2: Convert to fraction form
    44.78/66.82 = 41.14/x
  3. Step 3: Cross multiply
    44.78x = 66.82 × 41.14
  4. Step 4: Simplify right side
    44.78x = 2,748.97
  5. Step 5: Solve for x
    x = 2,748.97/44.78
  6. Step 6: Final answer
    x = 61.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.