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Finding the Fourth Proportional to 18.01, 27.01 and 12.34

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Solution

The fourth proportional to 18.01, 27.01 and 12.34 is: 18.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.01 : 27.01 = 12.34 : x
  2. Step 2: Convert to fraction form
    18.01/27.01 = 12.34/x
  3. Step 3: Cross multiply
    18.01x = 27.01 × 12.34
  4. Step 4: Simplify right side
    18.01x = 333.38
  5. Step 5: Solve for x
    x = 333.38/18.01
  6. Step 6: Final answer
    x = 18.51

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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.