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Finding the Fourth Proportional to 20.00, 27.41 and 19.97

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Solution

The fourth proportional to 20.00, 27.41 and 19.97 is: 27.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.00 : 27.41 = 19.97 : x
  2. Step 2: Convert to fraction form
    20.00/27.41 = 19.97/x
  3. Step 3: Cross multiply
    20.00x = 27.41 × 19.97
  4. Step 4: Simplify right side
    20.00x = 547.29
  5. Step 5: Solve for x
    x = 547.29/20.00
  6. Step 6: Final answer
    x = 27.37

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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.