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Finding the Fourth Proportional to 49.25, 67.97 and 27.42

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Solution

The fourth proportional to 49.25, 67.97 and 27.42 is: 37.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.25 : 67.97 = 27.42 : x
  2. Step 2: Convert to fraction form
    49.25/67.97 = 27.42/x
  3. Step 3: Cross multiply
    49.25x = 67.97 × 27.42
  4. Step 4: Simplify right side
    49.25x = 1,863.60
  5. Step 5: Solve for x
    x = 1,863.60/49.25
  6. Step 6: Final answer
    x = 37.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.