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Finding the Fourth Proportional to 38.24, 52.78 and 31.76

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Solution

The fourth proportional to 38.24, 52.78 and 31.76 is: 43.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.24 : 52.78 = 31.76 : x
  2. Step 2: Convert to fraction form
    38.24/52.78 = 31.76/x
  3. Step 3: Cross multiply
    38.24x = 52.78 × 31.76
  4. Step 4: Simplify right side
    38.24x = 1,676.03
  5. Step 5: Solve for x
    x = 1,676.03/38.24
  6. Step 6: Final answer
    x = 43.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.