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Finding the Fourth Proportional to 135.82, 204.14 and 119.62

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Solution

The fourth proportional to 135.82, 204.14 and 119.62 is: 179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.82 : 204.14 = 119.62 : x
  2. Step 2: Convert to fraction form
    135.82/204.14 = 119.62/x
  3. Step 3: Cross multiply
    135.82x = 204.14 × 119.62
  4. Step 4: Simplify right side
    135.82x = 24,419.23
  5. Step 5: Solve for x
    x = 24,419.23/135.82
  6. Step 6: Final answer
    x = 179.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.