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Finding the Fourth Proportional to 41.14, 61.61 and 32.56

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Solution

The fourth proportional to 41.14, 61.61 and 32.56 is: 48.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.14 : 61.61 = 32.56 : x
  2. Step 2: Convert to fraction form
    41.14/61.61 = 32.56/x
  3. Step 3: Cross multiply
    41.14x = 61.61 × 32.56
  4. Step 4: Simplify right side
    41.14x = 2,006.02
  5. Step 5: Solve for x
    x = 2,006.02/41.14
  6. Step 6: Final answer
    x = 48.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.