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Finding the Fourth Proportional to 18.24, 27.34 and 10.11

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Solution

The fourth proportional to 18.24, 27.34 and 10.11 is: 15.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.24 : 27.34 = 10.11 : x
  2. Step 2: Convert to fraction form
    18.24/27.34 = 10.11/x
  3. Step 3: Cross multiply
    18.24x = 27.34 × 10.11
  4. Step 4: Simplify right side
    18.24x = 276.41
  5. Step 5: Solve for x
    x = 276.41/18.24
  6. Step 6: Final answer
    x = 15.15

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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.