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Finding the Fourth Proportional to 118.82, 164.00 and 81.99

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Solution

The fourth proportional to 118.82, 164.00 and 81.99 is: 113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.82 : 164.00 = 81.99 : x
  2. Step 2: Convert to fraction form
    118.82/164.00 = 81.99/x
  3. Step 3: Cross multiply
    118.82x = 164.00 × 81.99
  4. Step 4: Simplify right side
    118.82x = 13,445.95
  5. Step 5: Solve for x
    x = 13,445.95/118.82
  6. Step 6: Final answer
    x = 113.17

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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.