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Finding the Fourth Proportional to 38, 57 and 12.32

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Solution

The fourth proportional to 38, 57 and 12.32 is: 18.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38 : 57 = 12.32 : x
  2. Step 2: Convert to fraction form
    38/57 = 12.32/x
  3. Step 3: Cross multiply
    38x = 57 × 12.32
  4. Step 4: Simplify right side
    38x = 702.24
  5. Step 5: Solve for x
    x = 702.24/38
  6. Step 6: Final answer
    x = 18.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.