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Finding the Fourth Proportional to 37.96, 52.42 and 30.70

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Solution

The fourth proportional to 37.96, 52.42 and 30.70 is: 42.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.96 : 52.42 = 30.70 : x
  2. Step 2: Convert to fraction form
    37.96/52.42 = 30.70/x
  3. Step 3: Cross multiply
    37.96x = 52.42 × 30.70
  4. Step 4: Simplify right side
    37.96x = 1,609.29
  5. Step 5: Solve for x
    x = 1,609.29/37.96
  6. Step 6: Final answer
    x = 42.39

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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.