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Finding the Fourth Proportional to 40.92, 61.26 and 32.78

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Solution

The fourth proportional to 40.92, 61.26 and 32.78 is: 49.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.92 : 61.26 = 32.78 : x
  2. Step 2: Convert to fraction form
    40.92/61.26 = 32.78/x
  3. Step 3: Cross multiply
    40.92x = 61.26 × 32.78
  4. Step 4: Simplify right side
    40.92x = 2,007.80
  5. Step 5: Solve for x
    x = 2,007.80/40.92
  6. Step 6: Final answer
    x = 49.07

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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.