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Finding the Fourth Proportional to 38.67, 57.56 and 38.09

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Solution

The fourth proportional to 38.67, 57.56 and 38.09 is: 56.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.67 : 57.56 = 38.09 : x
  2. Step 2: Convert to fraction form
    38.67/57.56 = 38.09/x
  3. Step 3: Cross multiply
    38.67x = 57.56 × 38.09
  4. Step 4: Simplify right side
    38.67x = 2,192.62
  5. Step 5: Solve for x
    x = 2,192.62/38.67
  6. Step 6: Final answer
    x = 56.70

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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.