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Finding the Fourth Proportional to 20.07, 30.11 and 13.98

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Solution

The fourth proportional to 20.07, 30.11 and 13.98 is: 20.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.07 : 30.11 = 13.98 : x
  2. Step 2: Convert to fraction form
    20.07/30.11 = 13.98/x
  3. Step 3: Cross multiply
    20.07x = 30.11 × 13.98
  4. Step 4: Simplify right side
    20.07x = 420.87
  5. Step 5: Solve for x
    x = 420.87/20.07
  6. Step 6: Final answer
    x = 20.97

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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.