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Finding the Fourth Proportional to 18.69, 25.77 and 12.86

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Solution

The fourth proportional to 18.69, 25.77 and 12.86 is: 17.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.69 : 25.77 = 12.86 : x
  2. Step 2: Convert to fraction form
    18.69/25.77 = 12.86/x
  3. Step 3: Cross multiply
    18.69x = 25.77 × 12.86
  4. Step 4: Simplify right side
    18.69x = 331.21
  5. Step 5: Solve for x
    x = 331.21/18.69
  6. Step 6: Final answer
    x = 17.73

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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.