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Finding the Fourth Proportional to 18.32, 25.09 and 18.09

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Solution

The fourth proportional to 18.32, 25.09 and 18.09 is: 24.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.32 : 25.09 = 18.09 : x
  2. Step 2: Convert to fraction form
    18.32/25.09 = 18.09/x
  3. Step 3: Cross multiply
    18.32x = 25.09 × 18.09
  4. Step 4: Simplify right side
    18.32x = 453.93
  5. Step 5: Solve for x
    x = 453.93/18.32
  6. Step 6: Final answer
    x = 24.78

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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.