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Finding the Fourth Proportional to 119.09, 178.27 and 105.42

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Solution

The fourth proportional to 119.09, 178.27 and 105.42 is: 157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.09 : 178.27 = 105.42 : x
  2. Step 2: Convert to fraction form
    119.09/178.27 = 105.42/x
  3. Step 3: Cross multiply
    119.09x = 178.27 × 105.42
  4. Step 4: Simplify right side
    119.09x = 18,792.96
  5. Step 5: Solve for x
    x = 18,792.96/119.09
  6. Step 6: Final answer
    x = 157.80

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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.