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Finding the Fourth Proportional to 119.73, 179.36 and 106.84

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Solution

The fourth proportional to 119.73, 179.36 and 106.84 is: 160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.73 : 179.36 = 106.84 : x
  2. Step 2: Convert to fraction form
    119.73/179.36 = 106.84/x
  3. Step 3: Cross multiply
    119.73x = 179.36 × 106.84
  4. Step 4: Simplify right side
    119.73x = 19,162.82
  5. Step 5: Solve for x
    x = 19,162.82/119.73
  6. Step 6: Final answer
    x = 160.05

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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.