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Finding the Fourth Proportional to 18.03, 24.74 and 16.65

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Solution

The fourth proportional to 18.03, 24.74 and 16.65 is: 22.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.03 : 24.74 = 16.65 : x
  2. Step 2: Convert to fraction form
    18.03/24.74 = 16.65/x
  3. Step 3: Cross multiply
    18.03x = 24.74 × 16.65
  4. Step 4: Simplify right side
    18.03x = 411.96
  5. Step 5: Solve for x
    x = 411.96/18.03
  6. Step 6: Final answer
    x = 22.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.