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Finding the Fourth Proportional to 38.31, 57.80 and 37.90

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Solution

The fourth proportional to 38.31, 57.80 and 37.90 is: 57.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.31 : 57.80 = 37.90 : x
  2. Step 2: Convert to fraction form
    38.31/57.80 = 37.90/x
  3. Step 3: Cross multiply
    38.31x = 57.80 × 37.90
  4. Step 4: Simplify right side
    38.31x = 2,190.62
  5. Step 5: Solve for x
    x = 2,190.62/38.31
  6. Step 6: Final answer
    x = 57.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.