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Finding the Fourth Proportional to 119.82, 179.73 and 34.32

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Solution

The fourth proportional to 119.82, 179.73 and 34.32 is: 51.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.82 : 179.73 = 34.32 : x
  2. Step 2: Convert to fraction form
    119.82/179.73 = 34.32/x
  3. Step 3: Cross multiply
    119.82x = 179.73 × 34.32
  4. Step 4: Simplify right side
    119.82x = 6,168.33
  5. Step 5: Solve for x
    x = 6,168.33/119.82
  6. Step 6: Final answer
    x = 51.48

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