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Finding the Fourth Proportional to 7.72, 10.72 and 7.68

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Solution

The fourth proportional to 7.72, 10.72 and 7.68 is: 10.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.72 : 10.72 = 7.68 : x
  2. Step 2: Convert to fraction form
    7.72/10.72 = 7.68/x
  3. Step 3: Cross multiply
    7.72x = 10.72 × 7.68
  4. Step 4: Simplify right side
    7.72x = 82.33
  5. Step 5: Solve for x
    x = 82.33/7.72
  6. Step 6: Final answer
    x = 10.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.