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Finding the Fourth Proportional to 119.61, 164.85 and 82.68

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Solution

The fourth proportional to 119.61, 164.85 and 82.68 is: 113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.61 : 164.85 = 82.68 : x
  2. Step 2: Convert to fraction form
    119.61/164.85 = 82.68/x
  3. Step 3: Cross multiply
    119.61x = 164.85 × 82.68
  4. Step 4: Simplify right side
    119.61x = 13,629.80
  5. Step 5: Solve for x
    x = 13,629.80/119.61
  6. Step 6: Final answer
    x = 113.95

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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.