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Finding the Fourth Proportional to 119.05, 164.22 and 82.23

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Solution

The fourth proportional to 119.05, 164.22 and 82.23 is: 113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.05 : 164.22 = 82.23 : x
  2. Step 2: Convert to fraction form
    119.05/164.22 = 82.23/x
  3. Step 3: Cross multiply
    119.05x = 164.22 × 82.23
  4. Step 4: Simplify right side
    119.05x = 13,503.81
  5. Step 5: Solve for x
    x = 13,503.81/119.05
  6. Step 6: Final answer
    x = 113.43

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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.