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Finding the Fourth Proportional to 20.38, 27.89 and 19.96

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Solution

The fourth proportional to 20.38, 27.89 and 19.96 is: 27.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.38 : 27.89 = 19.96 : x
  2. Step 2: Convert to fraction form
    20.38/27.89 = 19.96/x
  3. Step 3: Cross multiply
    20.38x = 27.89 × 19.96
  4. Step 4: Simplify right side
    20.38x = 556.68
  5. Step 5: Solve for x
    x = 556.68/20.38
  6. Step 6: Final answer
    x = 27.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.