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Finding the Fourth Proportional to 41.17, 61.71 and 20.58

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Solution

The fourth proportional to 41.17, 61.71 and 20.58 is: 30.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.17 : 61.71 = 20.58 : x
  2. Step 2: Convert to fraction form
    41.17/61.71 = 20.58/x
  3. Step 3: Cross multiply
    41.17x = 61.71 × 20.58
  4. Step 4: Simplify right side
    41.17x = 1,270.22
  5. Step 5: Solve for x
    x = 1,270.22/41.17
  6. Step 6: Final answer
    x = 30.85

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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.