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Finding the Fourth Proportional to 42.74, 63.72 and 41.45

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Solution

The fourth proportional to 42.74, 63.72 and 41.45 is: 61.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.74 : 63.72 = 41.45 : x
  2. Step 2: Convert to fraction form
    42.74/63.72 = 41.45/x
  3. Step 3: Cross multiply
    42.74x = 63.72 × 41.45
  4. Step 4: Simplify right side
    42.74x = 2,640.99
  5. Step 5: Solve for x
    x = 2,640.99/42.74
  6. Step 6: Final answer
    x = 61.79

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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.