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Finding the Fourth Proportional to 68.26, 102.39 and 20.17

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Solution

The fourth proportional to 68.26, 102.39 and 20.17 is: 30.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.26 : 102.39 = 20.17 : x
  2. Step 2: Convert to fraction form
    68.26/102.39 = 20.17/x
  3. Step 3: Cross multiply
    68.26x = 102.39 × 20.17
  4. Step 4: Simplify right side
    68.26x = 2,064.95
  5. Step 5: Solve for x
    x = 2,064.95/68.26
  6. Step 6: Final answer
    x = 30.25

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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.