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Finding the Fourth Proportional to 68.17, 102.25 and 22.56

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Solution

The fourth proportional to 68.17, 102.25 and 22.56 is: 33.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.17 : 102.25 = 22.56 : x
  2. Step 2: Convert to fraction form
    68.17/102.25 = 22.56/x
  3. Step 3: Cross multiply
    68.17x = 102.25 × 22.56
  4. Step 4: Simplify right side
    68.17x = 2,306.25
  5. Step 5: Solve for x
    x = 2,306.25/68.17
  6. Step 6: Final answer
    x = 33.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.