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Finding the Fourth Proportional to 50.92, 76.32 and 20.47

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Solution

The fourth proportional to 50.92, 76.32 and 20.47 is: 30.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.92 : 76.32 = 20.47 : x
  2. Step 2: Convert to fraction form
    50.92/76.32 = 20.47/x
  3. Step 3: Cross multiply
    50.92x = 76.32 × 20.47
  4. Step 4: Simplify right side
    50.92x = 1,562.27
  5. Step 5: Solve for x
    x = 1,562.27/50.92
  6. Step 6: Final answer
    x = 30.68

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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.