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Finding the Fourth Proportional to 118.82, 164 and 76.84

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Solution

The fourth proportional to 118.82, 164 and 76.84 is: 106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.82 : 164 = 76.84 : x
  2. Step 2: Convert to fraction form
    118.82/164 = 76.84/x
  3. Step 3: Cross multiply
    118.82x = 164 × 76.84
  4. Step 4: Simplify right side
    118.82x = 12,601.76
  5. Step 5: Solve for x
    x = 12,601.76/118.82
  6. Step 6: Final answer
    x = 106.06

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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.