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Finding the Fourth Proportional to 12.26, 16.80 and 12.16

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Solution

The fourth proportional to 12.26, 16.80 and 12.16 is: 16.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.26 : 16.80 = 12.16 : x
  2. Step 2: Convert to fraction form
    12.26/16.80 = 12.16/x
  3. Step 3: Cross multiply
    12.26x = 16.80 × 12.16
  4. Step 4: Simplify right side
    12.26x = 204.29
  5. Step 5: Solve for x
    x = 204.29/12.26
  6. Step 6: Final answer
    x = 16.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.