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Finding the Fourth Proportional to 18.38, 27.55 and 9.81

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Solution

The fourth proportional to 18.38, 27.55 and 9.81 is: 14.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.38 : 27.55 = 9.81 : x
  2. Step 2: Convert to fraction form
    18.38/27.55 = 9.81/x
  3. Step 3: Cross multiply
    18.38x = 27.55 × 9.81
  4. Step 4: Simplify right side
    18.38x = 270.27
  5. Step 5: Solve for x
    x = 270.27/18.38
  6. Step 6: Final answer
    x = 14.70

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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.