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Finding the Fourth Proportional to 11.65, 16.07 and 9.23

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Solution

The fourth proportional to 11.65, 16.07 and 9.23 is: 12.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.65 : 16.07 = 9.23 : x
  2. Step 2: Convert to fraction form
    11.65/16.07 = 9.23/x
  3. Step 3: Cross multiply
    11.65x = 16.07 × 9.23
  4. Step 4: Simplify right side
    11.65x = 148.33
  5. Step 5: Solve for x
    x = 148.33/11.65
  6. Step 6: Final answer
    x = 12.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.