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Finding the Fourth Proportional to 8.28, 11.39 and 7.07

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Solution

The fourth proportional to 8.28, 11.39 and 7.07 is: 9.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.28 : 11.39 = 7.07 : x
  2. Step 2: Convert to fraction form
    8.28/11.39 = 7.07/x
  3. Step 3: Cross multiply
    8.28x = 11.39 × 7.07
  4. Step 4: Simplify right side
    8.28x = 80.44
  5. Step 5: Solve for x
    x = 80.44/8.28
  6. Step 6: Final answer
    x = 9.71

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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.