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Finding the Fourth Proportional to 119.09, 178.63 and 49.71

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Solution

The fourth proportional to 119.09, 178.63 and 49.71 is: 74.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.09 : 178.63 = 49.71 : x
  2. Step 2: Convert to fraction form
    119.09/178.63 = 49.71/x
  3. Step 3: Cross multiply
    119.09x = 178.63 × 49.71
  4. Step 4: Simplify right side
    119.09x = 8,879.70
  5. Step 5: Solve for x
    x = 8,879.70/119.09
  6. Step 6: Final answer
    x = 74.56

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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.