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Finding the Fourth Proportional to 18.12, 24.97 and 14.65

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Solution

The fourth proportional to 18.12, 24.97 and 14.65 is: 20.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.12 : 24.97 = 14.65 : x
  2. Step 2: Convert to fraction form
    18.12/24.97 = 14.65/x
  3. Step 3: Cross multiply
    18.12x = 24.97 × 14.65
  4. Step 4: Simplify right side
    18.12x = 365.81
  5. Step 5: Solve for x
    x = 365.81/18.12
  6. Step 6: Final answer
    x = 20.19

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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.