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Finding the Fourth Proportional to 20.91, 31.37 and 12.41

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Solution

The fourth proportional to 20.91, 31.37 and 12.41 is: 18.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.91 : 31.37 = 12.41 : x
  2. Step 2: Convert to fraction form
    20.91/31.37 = 12.41/x
  3. Step 3: Cross multiply
    20.91x = 31.37 × 12.41
  4. Step 4: Simplify right side
    20.91x = 389.45
  5. Step 5: Solve for x
    x = 389.45/20.91
  6. Step 6: Final answer
    x = 18.62

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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.