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Finding the Fourth Proportional to 18.69, 25.77 and 14.09

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Solution

The fourth proportional to 18.69, 25.77 and 14.09 is: 19.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.69 : 25.77 = 14.09 : x
  2. Step 2: Convert to fraction form
    18.69/25.77 = 14.09/x
  3. Step 3: Cross multiply
    18.69x = 25.77 × 14.09
  4. Step 4: Simplify right side
    18.69x = 362.97
  5. Step 5: Solve for x
    x = 362.97/18.69
  6. Step 6: Final answer
    x = 19.42

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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.