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Finding the Fourth Proportional to 11.98, 18.02 and 11.97

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Solution

The fourth proportional to 11.98, 18.02 and 11.97 is: 18.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.98 : 18.02 = 11.97 : x
  2. Step 2: Convert to fraction form
    11.98/18.02 = 11.97/x
  3. Step 3: Cross multiply
    11.98x = 18.02 × 11.97
  4. Step 4: Simplify right side
    11.98x = 215.70
  5. Step 5: Solve for x
    x = 215.70/11.98
  6. Step 6: Final answer
    x = 18.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.