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Finding the Fourth Proportional to 20.16, 30.21 and 13.40

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Solution

The fourth proportional to 20.16, 30.21 and 13.40 is: 20.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.16 : 30.21 = 13.40 : x
  2. Step 2: Convert to fraction form
    20.16/30.21 = 13.40/x
  3. Step 3: Cross multiply
    20.16x = 30.21 × 13.40
  4. Step 4: Simplify right side
    20.16x = 404.66
  5. Step 5: Solve for x
    x = 404.66/20.16
  6. Step 6: Final answer
    x = 20.07

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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.