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Finding the Fourth Proportional to 12.89, 17.64 and 12.74

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Solution

The fourth proportional to 12.89, 17.64 and 12.74 is: 17.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.89 : 17.64 = 12.74 : x
  2. Step 2: Convert to fraction form
    12.89/17.64 = 12.74/x
  3. Step 3: Cross multiply
    12.89x = 17.64 × 12.74
  4. Step 4: Simplify right side
    12.89x = 224.65
  5. Step 5: Solve for x
    x = 224.65/12.89
  6. Step 6: Final answer
    x = 17.43

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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.