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Finding the Fourth Proportional to 8.00, 12.07 and 7.69

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Solution

The fourth proportional to 8.00, 12.07 and 7.69 is: 11.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.00 : 12.07 = 7.69 : x
  2. Step 2: Convert to fraction form
    8.00/12.07 = 7.69/x
  3. Step 3: Cross multiply
    8.00x = 12.07 × 7.69
  4. Step 4: Simplify right side
    8.00x = 92.74
  5. Step 5: Solve for x
    x = 92.74/8.00
  6. Step 6: Final answer
    x = 11.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.