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Finding the Fourth Proportional to 41.00, 61.16 and 34.61

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Solution

The fourth proportional to 41.00, 61.16 and 34.61 is: 51.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.00 : 61.16 = 34.61 : x
  2. Step 2: Convert to fraction form
    41.00/61.16 = 34.61/x
  3. Step 3: Cross multiply
    41.00x = 61.16 × 34.61
  4. Step 4: Simplify right side
    41.00x = 2,116.27
  5. Step 5: Solve for x
    x = 2,116.27/41.00
  6. Step 6: Final answer
    x = 51.62

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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.