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Finding the Fourth Proportional to 38.57, 57.49 and 36.14

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Solution

The fourth proportional to 38.57, 57.49 and 36.14 is: 53.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.57 : 57.49 = 36.14 : x
  2. Step 2: Convert to fraction form
    38.57/57.49 = 36.14/x
  3. Step 3: Cross multiply
    38.57x = 57.49 × 36.14
  4. Step 4: Simplify right side
    38.57x = 2,077.69
  5. Step 5: Solve for x
    x = 2,077.69/38.57
  6. Step 6: Final answer
    x = 53.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.