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Finding the Fourth Proportional to 119.46, 164.69 and 82.55

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Solution

The fourth proportional to 119.46, 164.69 and 82.55 is: 113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.46 : 164.69 = 82.55 : x
  2. Step 2: Convert to fraction form
    119.46/164.69 = 82.55/x
  3. Step 3: Cross multiply
    119.46x = 164.69 × 82.55
  4. Step 4: Simplify right side
    119.46x = 13,595.16
  5. Step 5: Solve for x
    x = 13,595.16/119.46
  6. Step 6: Final answer
    x = 113.81

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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.