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Finding the Fourth Proportional to 20.25, 27.97 and 12.08

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Solution

The fourth proportional to 20.25, 27.97 and 12.08 is: 16.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.25 : 27.97 = 12.08 : x
  2. Step 2: Convert to fraction form
    20.25/27.97 = 12.08/x
  3. Step 3: Cross multiply
    20.25x = 27.97 × 12.08
  4. Step 4: Simplify right side
    20.25x = 337.92
  5. Step 5: Solve for x
    x = 337.92/20.25
  6. Step 6: Final answer
    x = 16.69

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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.