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Finding the Fourth Proportional to 8.46, 12.77 and 8.09

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Solution

The fourth proportional to 8.46, 12.77 and 8.09 is: 12.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.46 : 12.77 = 8.09 : x
  2. Step 2: Convert to fraction form
    8.46/12.77 = 8.09/x
  3. Step 3: Cross multiply
    8.46x = 12.77 × 8.09
  4. Step 4: Simplify right side
    8.46x = 103.27
  5. Step 5: Solve for x
    x = 103.27/8.46
  6. Step 6: Final answer
    x = 12.21

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Why These Related Problems?

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