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Finding the Fourth Proportional to 9.65, 14.42 and 9.23

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Solution

The fourth proportional to 9.65, 14.42 and 9.23 is: 13.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.65 : 14.42 = 9.23 : x
  2. Step 2: Convert to fraction form
    9.65/14.42 = 9.23/x
  3. Step 3: Cross multiply
    9.65x = 14.42 × 9.23
  4. Step 4: Simplify right side
    9.65x = 132.98
  5. Step 5: Solve for x
    x = 132.98/9.65
  6. Step 6: Final answer
    x = 13.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.