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Finding the Fourth Proportional to 41.06, 61.56 and 20.78

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Solution

The fourth proportional to 41.06, 61.56 and 20.78 is: 31.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.06 : 61.56 = 20.78 : x
  2. Step 2: Convert to fraction form
    41.06/61.56 = 20.78/x
  3. Step 3: Cross multiply
    41.06x = 61.56 × 20.78
  4. Step 4: Simplify right side
    41.06x = 1,279.22
  5. Step 5: Solve for x
    x = 1,279.22/41.06
  6. Step 6: Final answer
    x = 31.15

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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.