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Finding the Fourth Proportional to 41.94, 62.86 and 23.92

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Solution

The fourth proportional to 41.94, 62.86 and 23.92 is: 35.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.94 : 62.86 = 23.92 : x
  2. Step 2: Convert to fraction form
    41.94/62.86 = 23.92/x
  3. Step 3: Cross multiply
    41.94x = 62.86 × 23.92
  4. Step 4: Simplify right side
    41.94x = 1,503.61
  5. Step 5: Solve for x
    x = 1,503.61/41.94
  6. Step 6: Final answer
    x = 35.85

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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.