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Finding the Fourth Proportional to 12.80, 17.67 and 9.16

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Solution

The fourth proportional to 12.80, 17.67 and 9.16 is: 12.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.80 : 17.67 = 9.16 : x
  2. Step 2: Convert to fraction form
    12.80/17.67 = 9.16/x
  3. Step 3: Cross multiply
    12.80x = 17.67 × 9.16
  4. Step 4: Simplify right side
    12.80x = 161.85
  5. Step 5: Solve for x
    x = 161.85/12.80
  6. Step 6: Final answer
    x = 12.64

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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.