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Finding the Fourth Proportional to 20.08, 30.13 and 9.25

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Solution

The fourth proportional to 20.08, 30.13 and 9.25 is: 13.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.08 : 30.13 = 9.25 : x
  2. Step 2: Convert to fraction form
    20.08/30.13 = 9.25/x
  3. Step 3: Cross multiply
    20.08x = 30.13 × 9.25
  4. Step 4: Simplify right side
    20.08x = 278.71
  5. Step 5: Solve for x
    x = 278.71/20.08
  6. Step 6: Final answer
    x = 13.88

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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.