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Finding the Fourth Proportional to 13.23, 19.69 and 12.65

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Solution

The fourth proportional to 13.23, 19.69 and 12.65 is: 18.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.23 : 19.69 = 12.65 : x
  2. Step 2: Convert to fraction form
    13.23/19.69 = 12.65/x
  3. Step 3: Cross multiply
    13.23x = 19.69 × 12.65
  4. Step 4: Simplify right side
    13.23x = 248.95
  5. Step 5: Solve for x
    x = 248.95/13.23
  6. Step 6: Final answer
    x = 18.82

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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.