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Finding the Fourth Proportional to 37.96, 52.41 and 31.07

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Solution

The fourth proportional to 37.96, 52.41 and 31.07 is: 42.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.96 : 52.41 = 31.07 : x
  2. Step 2: Convert to fraction form
    37.96/52.41 = 31.07/x
  3. Step 3: Cross multiply
    37.96x = 52.41 × 31.07
  4. Step 4: Simplify right side
    37.96x = 1,627.96
  5. Step 5: Solve for x
    x = 1,627.96/37.96
  6. Step 6: Final answer
    x = 42.89

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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.