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Finding the Fourth Proportional to 20.90, 31.33 and 14.49

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Solution

The fourth proportional to 20.90, 31.33 and 14.49 is: 21.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.90 : 31.33 = 14.49 : x
  2. Step 2: Convert to fraction form
    20.90/31.33 = 14.49/x
  3. Step 3: Cross multiply
    20.90x = 31.33 × 14.49
  4. Step 4: Simplify right side
    20.90x = 453.97
  5. Step 5: Solve for x
    x = 453.97/20.90
  6. Step 6: Final answer
    x = 21.72

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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.