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Finding the Fourth Proportional to 13.65, 18.83 and 11.23

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Solution

The fourth proportional to 13.65, 18.83 and 11.23 is: 15.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.65 : 18.83 = 11.23 : x
  2. Step 2: Convert to fraction form
    13.65/18.83 = 11.23/x
  3. Step 3: Cross multiply
    13.65x = 18.83 × 11.23
  4. Step 4: Simplify right side
    13.65x = 211.46
  5. Step 5: Solve for x
    x = 211.46/13.65
  6. Step 6: Final answer
    x = 15.49

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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.