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Finding the Fourth Proportional to 119.37, 179.20 and 78.83

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Solution

The fourth proportional to 119.37, 179.20 and 78.83 is: 118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.37 : 179.20 = 78.83 : x
  2. Step 2: Convert to fraction form
    119.37/179.20 = 78.83/x
  3. Step 3: Cross multiply
    119.37x = 179.20 × 78.83
  4. Step 4: Simplify right side
    119.37x = 14,125.44
  5. Step 5: Solve for x
    x = 14,125.44/119.37
  6. Step 6: Final answer
    x = 118.33

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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.