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Finding the Fourth Proportional to 41.27, 61.58 and 32.61

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Solution

The fourth proportional to 41.27, 61.58 and 32.61 is: 48.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.27 : 61.58 = 32.61 : x
  2. Step 2: Convert to fraction form
    41.27/61.58 = 32.61/x
  3. Step 3: Cross multiply
    41.27x = 61.58 × 32.61
  4. Step 4: Simplify right side
    41.27x = 2,008.28
  5. Step 5: Solve for x
    x = 2,008.28/41.27
  6. Step 6: Final answer
    x = 48.66

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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.