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Finding the Fourth Proportional to 12.72, 17.46 and 11.91

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Solution

The fourth proportional to 12.72, 17.46 and 11.91 is: 16.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.72 : 17.46 = 11.91 : x
  2. Step 2: Convert to fraction form
    12.72/17.46 = 11.91/x
  3. Step 3: Cross multiply
    12.72x = 17.46 × 11.91
  4. Step 4: Simplify right side
    12.72x = 207.95
  5. Step 5: Solve for x
    x = 207.95/12.72
  6. Step 6: Final answer
    x = 16.35

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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.