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Finding the Fourth Proportional to 33.92, 50.82 and 27.16

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Solution

The fourth proportional to 33.92, 50.82 and 27.16 is: 40.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.92 : 50.82 = 27.16 : x
  2. Step 2: Convert to fraction form
    33.92/50.82 = 27.16/x
  3. Step 3: Cross multiply
    33.92x = 50.82 × 27.16
  4. Step 4: Simplify right side
    33.92x = 1,380.27
  5. Step 5: Solve for x
    x = 1,380.27/33.92
  6. Step 6: Final answer
    x = 40.69

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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.