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Finding the Fourth Proportional to 37.91, 56.81 and 20.78

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Solution

The fourth proportional to 37.91, 56.81 and 20.78 is: 31.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.91 : 56.81 = 20.78 : x
  2. Step 2: Convert to fraction form
    37.91/56.81 = 20.78/x
  3. Step 3: Cross multiply
    37.91x = 56.81 × 20.78
  4. Step 4: Simplify right side
    37.91x = 1,180.12
  5. Step 5: Solve for x
    x = 1,180.12/37.91
  6. Step 6: Final answer
    x = 31.13

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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.