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Finding the Fourth Proportional to 12.05, 18.09 and 12.01

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Solution

The fourth proportional to 12.05, 18.09 and 12.01 is: 18.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.05 : 18.09 = 12.01 : x
  2. Step 2: Convert to fraction form
    12.05/18.09 = 12.01/x
  3. Step 3: Cross multiply
    12.05x = 18.09 × 12.01
  4. Step 4: Simplify right side
    12.05x = 217.11
  5. Step 5: Solve for x
    x = 217.11/12.05
  6. Step 6: Final answer
    x = 18.02

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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.