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Finding the Fourth Proportional to 8.09, 12.07 and 6.97

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Solution

The fourth proportional to 8.09, 12.07 and 6.97 is: 10.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.09 : 12.07 = 6.97 : x
  2. Step 2: Convert to fraction form
    8.09/12.07 = 6.97/x
  3. Step 3: Cross multiply
    8.09x = 12.07 × 6.97
  4. Step 4: Simplify right side
    8.09x = 84.13
  5. Step 5: Solve for x
    x = 84.13/8.09
  6. Step 6: Final answer
    x = 10.40

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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.