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Finding the Fourth Proportional to 14.13, 21.09 and 12.42

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Solution

The fourth proportional to 14.13, 21.09 and 12.42 is: 18.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.13 : 21.09 = 12.42 : x
  2. Step 2: Convert to fraction form
    14.13/21.09 = 12.42/x
  3. Step 3: Cross multiply
    14.13x = 21.09 × 12.42
  4. Step 4: Simplify right side
    14.13x = 261.94
  5. Step 5: Solve for x
    x = 261.94/14.13
  6. Step 6: Final answer
    x = 18.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.