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Finding the Fourth Proportional to 49.57, 68.41 and 27.44

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Solution

The fourth proportional to 49.57, 68.41 and 27.44 is: 37.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.57 : 68.41 = 27.44 : x
  2. Step 2: Convert to fraction form
    49.57/68.41 = 27.44/x
  3. Step 3: Cross multiply
    49.57x = 68.41 × 27.44
  4. Step 4: Simplify right side
    49.57x = 1,877.17
  5. Step 5: Solve for x
    x = 1,877.17/49.57
  6. Step 6: Final answer
    x = 37.87

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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.