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Finding the Fourth Proportional to 20.43, 27.97 and 19.82

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Solution

The fourth proportional to 20.43, 27.97 and 19.82 is: 27.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.43 : 27.97 = 19.82 : x
  2. Step 2: Convert to fraction form
    20.43/27.97 = 19.82/x
  3. Step 3: Cross multiply
    20.43x = 27.97 × 19.82
  4. Step 4: Simplify right side
    20.43x = 554.18
  5. Step 5: Solve for x
    x = 554.18/20.43
  6. Step 6: Final answer
    x = 27.13

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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.