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Finding the Fourth Proportional to 16.65, 24.97 and 9.89

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Solution

The fourth proportional to 16.65, 24.97 and 9.89 is: 14.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.65 : 24.97 = 9.89 : x
  2. Step 2: Convert to fraction form
    16.65/24.97 = 9.89/x
  3. Step 3: Cross multiply
    16.65x = 24.97 × 9.89
  4. Step 4: Simplify right side
    16.65x = 246.95
  5. Step 5: Solve for x
    x = 246.95/16.65
  6. Step 6: Final answer
    x = 14.83

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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.