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Finding the Fourth Proportional to 41.46, 61.86 and 34.71

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Solution

The fourth proportional to 41.46, 61.86 and 34.71 is: 51.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.46 : 61.86 = 34.71 : x
  2. Step 2: Convert to fraction form
    41.46/61.86 = 34.71/x
  3. Step 3: Cross multiply
    41.46x = 61.86 × 34.71
  4. Step 4: Simplify right side
    41.46x = 2,147.16
  5. Step 5: Solve for x
    x = 2,147.16/41.46
  6. Step 6: Final answer
    x = 51.79

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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.