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Finding the Fourth Proportional to 12.36, 18.42 and 12.14

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Solution

The fourth proportional to 12.36, 18.42 and 12.14 is: 18.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.36 : 18.42 = 12.14 : x
  2. Step 2: Convert to fraction form
    12.36/18.42 = 12.14/x
  3. Step 3: Cross multiply
    12.36x = 18.42 × 12.14
  4. Step 4: Simplify right side
    12.36x = 223.62
  5. Step 5: Solve for x
    x = 223.62/12.36
  6. Step 6: Final answer
    x = 18.09

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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.