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Finding the Fourth Proportional to 118.83, 164.13 and 82.08

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Solution

The fourth proportional to 118.83, 164.13 and 82.08 is: 113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.83 : 164.13 = 82.08 : x
  2. Step 2: Convert to fraction form
    118.83/164.13 = 82.08/x
  3. Step 3: Cross multiply
    118.83x = 164.13 × 82.08
  4. Step 4: Simplify right side
    118.83x = 13,471.79
  5. Step 5: Solve for x
    x = 13,471.79/118.83
  6. Step 6: Final answer
    x = 113.37

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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.