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Finding the Fourth Proportional to 20.14, 30.17 and 19.40

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Solution

The fourth proportional to 20.14, 30.17 and 19.40 is: 29.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.14 : 30.17 = 19.40 : x
  2. Step 2: Convert to fraction form
    20.14/30.17 = 19.40/x
  3. Step 3: Cross multiply
    20.14x = 30.17 × 19.40
  4. Step 4: Simplify right side
    20.14x = 585.30
  5. Step 5: Solve for x
    x = 585.30/20.14
  6. Step 6: Final answer
    x = 29.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.