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Finding the Fourth Proportional to 119.60, 179 and 108.66

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Solution

The fourth proportional to 119.60, 179 and 108.66 is: 162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.60 : 179 = 108.66 : x
  2. Step 2: Convert to fraction form
    119.60/179 = 108.66/x
  3. Step 3: Cross multiply
    119.60x = 179 × 108.66
  4. Step 4: Simplify right side
    119.60x = 19,450.14
  5. Step 5: Solve for x
    x = 19,450.14/119.60
  6. Step 6: Final answer
    x = 162.63

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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.