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Finding the Fourth Proportional to 20.26, 30.39 and 6.74

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Solution

The fourth proportional to 20.26, 30.39 and 6.74 is: 10.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.26 : 30.39 = 6.74 : x
  2. Step 2: Convert to fraction form
    20.26/30.39 = 6.74/x
  3. Step 3: Cross multiply
    20.26x = 30.39 × 6.74
  4. Step 4: Simplify right side
    20.26x = 204.68
  5. Step 5: Solve for x
    x = 204.68/20.26
  6. Step 6: Final answer
    x = 10.10

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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.