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Finding the Fourth Proportional to 10.11, 13.92 and 7.68

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Solution

The fourth proportional to 10.11, 13.92 and 7.68 is: 10.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.11 : 13.92 = 7.68 : x
  2. Step 2: Convert to fraction form
    10.11/13.92 = 7.68/x
  3. Step 3: Cross multiply
    10.11x = 13.92 × 7.68
  4. Step 4: Simplify right side
    10.11x = 106.91
  5. Step 5: Solve for x
    x = 106.91/10.11
  6. Step 6: Final answer
    x = 10.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.