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Finding the Fourth Proportional to 13.74, 18.97 and 9.65

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Solution

The fourth proportional to 13.74, 18.97 and 9.65 is: 13.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.74 : 18.97 = 9.65 : x
  2. Step 2: Convert to fraction form
    13.74/18.97 = 9.65/x
  3. Step 3: Cross multiply
    13.74x = 18.97 × 9.65
  4. Step 4: Simplify right side
    13.74x = 183.06
  5. Step 5: Solve for x
    x = 183.06/13.74
  6. Step 6: Final answer
    x = 13.32

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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.