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Finding the Fourth Proportional to 19.20, 28.68 and 14.09

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Solution

The fourth proportional to 19.20, 28.68 and 14.09 is: 21.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.20 : 28.68 = 14.09 : x
  2. Step 2: Convert to fraction form
    19.20/28.68 = 14.09/x
  3. Step 3: Cross multiply
    19.20x = 28.68 × 14.09
  4. Step 4: Simplify right side
    19.20x = 404.10
  5. Step 5: Solve for x
    x = 404.10/19.20
  6. Step 6: Final answer
    x = 21.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.