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Finding the Fourth Proportional to 9.65, 14.45 and 7.97

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Solution

The fourth proportional to 9.65, 14.45 and 7.97 is: 11.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.65 : 14.45 = 7.97 : x
  2. Step 2: Convert to fraction form
    9.65/14.45 = 7.97/x
  3. Step 3: Cross multiply
    9.65x = 14.45 × 7.97
  4. Step 4: Simplify right side
    9.65x = 115.05
  5. Step 5: Solve for x
    x = 115.05/9.65
  6. Step 6: Final answer
    x = 11.92

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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.