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Finding the Fourth Proportional to 44.90, 61.82 and 38.78

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Solution

The fourth proportional to 44.90, 61.82 and 38.78 is: 53.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.90 : 61.82 = 38.78 : x
  2. Step 2: Convert to fraction form
    44.90/61.82 = 38.78/x
  3. Step 3: Cross multiply
    44.90x = 61.82 × 38.78
  4. Step 4: Simplify right side
    44.90x = 2,397.38
  5. Step 5: Solve for x
    x = 2,397.38/44.90
  6. Step 6: Final answer
    x = 53.39

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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.