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Finding the Fourth Proportional to 118.94, 164.05 and 82.09

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Solution

The fourth proportional to 118.94, 164.05 and 82.09 is: 113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.94 : 164.05 = 82.09 : x
  2. Step 2: Convert to fraction form
    118.94/164.05 = 82.09/x
  3. Step 3: Cross multiply
    118.94x = 164.05 × 82.09
  4. Step 4: Simplify right side
    118.94x = 13,466.25
  5. Step 5: Solve for x
    x = 13,466.25/118.94
  6. Step 6: Final answer
    x = 113.22

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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.