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Finding the Fourth Proportional to 119.42, 164.83 and 82.66

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Solution

The fourth proportional to 119.42, 164.83 and 82.66 is: 114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.42 : 164.83 = 82.66 : x
  2. Step 2: Convert to fraction form
    119.42/164.83 = 82.66/x
  3. Step 3: Cross multiply
    119.42x = 164.83 × 82.66
  4. Step 4: Simplify right side
    119.42x = 13,624.85
  5. Step 5: Solve for x
    x = 13,624.85/119.42
  6. Step 6: Final answer
    x = 114.09

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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.