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Finding the Fourth Proportional to 11.14, 15.36 and 7.68

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Solution

The fourth proportional to 11.14, 15.36 and 7.68 is: 10.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.14 : 15.36 = 7.68 : x
  2. Step 2: Convert to fraction form
    11.14/15.36 = 7.68/x
  3. Step 3: Cross multiply
    11.14x = 15.36 × 7.68
  4. Step 4: Simplify right side
    11.14x = 117.93
  5. Step 5: Solve for x
    x = 117.93/11.14
  6. Step 6: Final answer
    x = 10.59

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Why These Related Problems?

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