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Finding the Fourth Proportional to 18.02, 27.08 and 12.05

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Solution

The fourth proportional to 18.02, 27.08 and 12.05 is: 18.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.02 : 27.08 = 12.05 : x
  2. Step 2: Convert to fraction form
    18.02/27.08 = 12.05/x
  3. Step 3: Cross multiply
    18.02x = 27.08 × 12.05
  4. Step 4: Simplify right side
    18.02x = 326.33
  5. Step 5: Solve for x
    x = 326.33/18.02
  6. Step 6: Final answer
    x = 18.11

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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.