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Finding the Fourth Proportional to 119.19, 179.46 and 105.78

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Solution

The fourth proportional to 119.19, 179.46 and 105.78 is: 159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.19 : 179.46 = 105.78 : x
  2. Step 2: Convert to fraction form
    119.19/179.46 = 105.78/x
  3. Step 3: Cross multiply
    119.19x = 179.46 × 105.78
  4. Step 4: Simplify right side
    119.19x = 18,983.28
  5. Step 5: Solve for x
    x = 18,983.28/119.19
  6. Step 6: Final answer
    x = 159.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.