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Finding the Fourth Proportional to 13.23, 18.12 and 13.09

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Solution

The fourth proportional to 13.23, 18.12 and 13.09 is: 17.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.23 : 18.12 = 13.09 : x
  2. Step 2: Convert to fraction form
    13.23/18.12 = 13.09/x
  3. Step 3: Cross multiply
    13.23x = 18.12 × 13.09
  4. Step 4: Simplify right side
    13.23x = 237.19
  5. Step 5: Solve for x
    x = 237.19/13.23
  6. Step 6: Final answer
    x = 17.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.