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Finding the Fourth Proportional to 68.28, 101.76 and 66.28

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Solution

The fourth proportional to 68.28, 101.76 and 66.28 is: 98.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.28 : 101.76 = 66.28 : x
  2. Step 2: Convert to fraction form
    68.28/101.76 = 66.28/x
  3. Step 3: Cross multiply
    68.28x = 101.76 × 66.28
  4. Step 4: Simplify right side
    68.28x = 6,744.65
  5. Step 5: Solve for x
    x = 6,744.65/68.28
  6. Step 6: Final answer
    x = 98.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.