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Finding the Fourth Proportional to 12.68, 17.48 and 7.83

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Solution

The fourth proportional to 12.68, 17.48 and 7.83 is: 10.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.68 : 17.48 = 7.83 : x
  2. Step 2: Convert to fraction form
    12.68/17.48 = 7.83/x
  3. Step 3: Cross multiply
    12.68x = 17.48 × 7.83
  4. Step 4: Simplify right side
    12.68x = 136.87
  5. Step 5: Solve for x
    x = 136.87/12.68
  6. Step 6: Final answer
    x = 10.79

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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.