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Finding the Fourth Proportional to 38.73, 57.80 and 38.49

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Solution

The fourth proportional to 38.73, 57.80 and 38.49 is: 57.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.73 : 57.80 = 38.49 : x
  2. Step 2: Convert to fraction form
    38.73/57.80 = 38.49/x
  3. Step 3: Cross multiply
    38.73x = 57.80 × 38.49
  4. Step 4: Simplify right side
    38.73x = 2,224.53
  5. Step 5: Solve for x
    x = 2,224.53/38.73
  6. Step 6: Final answer
    x = 57.44

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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.