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Finding the Fourth Proportional to 119.54, 164.87 and 82.64

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Solution

The fourth proportional to 119.54, 164.87 and 82.64 is: 113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.54 : 164.87 = 82.64 : x
  2. Step 2: Convert to fraction form
    119.54/164.87 = 82.64/x
  3. Step 3: Cross multiply
    119.54x = 164.87 × 82.64
  4. Step 4: Simplify right side
    119.54x = 13,623.62
  5. Step 5: Solve for x
    x = 13,623.62/119.54
  6. Step 6: Final answer
    x = 113.97

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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.