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Finding the Fourth Proportional to 38.31, 57.35 and 31.76

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Solution

The fourth proportional to 38.31, 57.35 and 31.76 is: 47.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.31 : 57.35 = 31.76 : x
  2. Step 2: Convert to fraction form
    38.31/57.35 = 31.76/x
  3. Step 3: Cross multiply
    38.31x = 57.35 × 31.76
  4. Step 4: Simplify right side
    38.31x = 1,821.44
  5. Step 5: Solve for x
    x = 1,821.44/38.31
  6. Step 6: Final answer
    x = 47.54

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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.