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Finding the Fourth Proportional to 6.65, 9.96 and 6.09

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Solution

The fourth proportional to 6.65, 9.96 and 6.09 is: 9.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.65 : 9.96 = 6.09 : x
  2. Step 2: Convert to fraction form
    6.65/9.96 = 6.09/x
  3. Step 3: Cross multiply
    6.65x = 9.96 × 6.09
  4. Step 4: Simplify right side
    6.65x = 60.65
  5. Step 5: Solve for x
    x = 60.65/6.65
  6. Step 6: Final answer
    x = 9.13

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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.