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Finding the Fourth Proportional to 37.96, 56.82 and 30.76

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Solution

The fourth proportional to 37.96, 56.82 and 30.76 is: 46.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.96 : 56.82 = 30.76 : x
  2. Step 2: Convert to fraction form
    37.96/56.82 = 30.76/x
  3. Step 3: Cross multiply
    37.96x = 56.82 × 30.76
  4. Step 4: Simplify right side
    37.96x = 1,747.78
  5. Step 5: Solve for x
    x = 1,747.78/37.96
  6. Step 6: Final answer
    x = 46.04

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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.