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Finding the Fourth Proportional to 8.25, 12.41 and 6.77

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Solution

The fourth proportional to 8.25, 12.41 and 6.77 is: 10.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.25 : 12.41 = 6.77 : x
  2. Step 2: Convert to fraction form
    8.25/12.41 = 6.77/x
  3. Step 3: Cross multiply
    8.25x = 12.41 × 6.77
  4. Step 4: Simplify right side
    8.25x = 83.92
  5. Step 5: Solve for x
    x = 83.92/8.25
  6. Step 6: Final answer
    x = 10.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.