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Finding the Fourth Proportional to 119.83, 178.80 and 108.31

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Solution

The fourth proportional to 119.83, 178.80 and 108.31 is: 161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.83 : 178.80 = 108.31 : x
  2. Step 2: Convert to fraction form
    119.83/178.80 = 108.31/x
  3. Step 3: Cross multiply
    119.83x = 178.80 × 108.31
  4. Step 4: Simplify right side
    119.83x = 19,365.29
  5. Step 5: Solve for x
    x = 19,365.29/119.83
  6. Step 6: Final answer
    x = 161.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.