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Finding the Fourth Proportional to 41.14, 61.68 and 20.57

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Solution

The fourth proportional to 41.14, 61.68 and 20.57 is: 30.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.14 : 61.68 = 20.57 : x
  2. Step 2: Convert to fraction form
    41.14/61.68 = 20.57/x
  3. Step 3: Cross multiply
    41.14x = 61.68 × 20.57
  4. Step 4: Simplify right side
    41.14x = 1,268.76
  5. Step 5: Solve for x
    x = 1,268.76/41.14
  6. Step 6: Final answer
    x = 30.84

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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.