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Finding the Fourth Proportional to 119.29, 164.39 and 82.38

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Solution

The fourth proportional to 119.29, 164.39 and 82.38 is: 113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.29 : 164.39 = 82.38 : x
  2. Step 2: Convert to fraction form
    119.29/164.39 = 82.38/x
  3. Step 3: Cross multiply
    119.29x = 164.39 × 82.38
  4. Step 4: Simplify right side
    119.29x = 13,542.65
  5. Step 5: Solve for x
    x = 13,542.65/119.29
  6. Step 6: Final answer
    x = 113.53

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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.