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Finding the Fourth Proportional to 37.91, 52.40 and 31.86

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Solution

The fourth proportional to 37.91, 52.40 and 31.86 is: 44.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.91 : 52.40 = 31.86 : x
  2. Step 2: Convert to fraction form
    37.91/52.40 = 31.86/x
  3. Step 3: Cross multiply
    37.91x = 52.40 × 31.86
  4. Step 4: Simplify right side
    37.91x = 1,669.54
  5. Step 5: Solve for x
    x = 1,669.54/37.91
  6. Step 6: Final answer
    x = 44.04

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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.