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Finding the Fourth Proportional to 7.68, 11.46 and 6.78

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Solution

The fourth proportional to 7.68, 11.46 and 6.78 is: 10.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.68 : 11.46 = 6.78 : x
  2. Step 2: Convert to fraction form
    7.68/11.46 = 6.78/x
  3. Step 3: Cross multiply
    7.68x = 11.46 × 6.78
  4. Step 4: Simplify right side
    7.68x = 77.70
  5. Step 5: Solve for x
    x = 77.70/7.68
  6. Step 6: Final answer
    x = 10.12

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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.