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Finding the Fourth Proportional to 68.57, 102.97 and 63.79

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Solution

The fourth proportional to 68.57, 102.97 and 63.79 is: 95.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.57 : 102.97 = 63.79 : x
  2. Step 2: Convert to fraction form
    68.57/102.97 = 63.79/x
  3. Step 3: Cross multiply
    68.57x = 102.97 × 63.79
  4. Step 4: Simplify right side
    68.57x = 6,568.28
  5. Step 5: Solve for x
    x = 6,568.28/68.57
  6. Step 6: Final answer
    x = 95.79

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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.