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Finding the Fourth Proportional to 119.06, 164.04 and 82.14

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Solution

The fourth proportional to 119.06, 164.04 and 82.14 is: 113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.06 : 164.04 = 82.14 : x
  2. Step 2: Convert to fraction form
    119.06/164.04 = 82.14/x
  3. Step 3: Cross multiply
    119.06x = 164.04 × 82.14
  4. Step 4: Simplify right side
    119.06x = 13,474.25
  5. Step 5: Solve for x
    x = 13,474.25/119.06
  6. Step 6: Final answer
    x = 113.18

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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.