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Finding the Fourth Proportional to 44.97, 67.24 and 33.42

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Solution

The fourth proportional to 44.97, 67.24 and 33.42 is: 49.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.97 : 67.24 = 33.42 : x
  2. Step 2: Convert to fraction form
    44.97/67.24 = 33.42/x
  3. Step 3: Cross multiply
    44.97x = 67.24 × 33.42
  4. Step 4: Simplify right side
    44.97x = 2,247.16
  5. Step 5: Solve for x
    x = 2,247.16/44.97
  6. Step 6: Final answer
    x = 49.97

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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.