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Finding the Fourth Proportional to 19.92, 27.42 and 16.05

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Solution

The fourth proportional to 19.92, 27.42 and 16.05 is: 22.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.92 : 27.42 = 16.05 : x
  2. Step 2: Convert to fraction form
    19.92/27.42 = 16.05/x
  3. Step 3: Cross multiply
    19.92x = 27.42 × 16.05
  4. Step 4: Simplify right side
    19.92x = 440.09
  5. Step 5: Solve for x
    x = 440.09/19.92
  6. Step 6: Final answer
    x = 22.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.