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Finding the Fourth Proportional to 20.04, 27.49 and 19.82

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Solution

The fourth proportional to 20.04, 27.49 and 19.82 is: 27.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.04 : 27.49 = 19.82 : x
  2. Step 2: Convert to fraction form
    20.04/27.49 = 19.82/x
  3. Step 3: Cross multiply
    20.04x = 27.49 × 19.82
  4. Step 4: Simplify right side
    20.04x = 544.85
  5. Step 5: Solve for x
    x = 544.85/20.04
  6. Step 6: Final answer
    x = 27.19

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