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Finding the Fourth Proportional to 122.06, 181.82 and 119.63

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Solution

The fourth proportional to 122.06, 181.82 and 119.63 is: 178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.06 : 181.82 = 119.63 : x
  2. Step 2: Convert to fraction form
    122.06/181.82 = 119.63/x
  3. Step 3: Cross multiply
    122.06x = 181.82 × 119.63
  4. Step 4: Simplify right side
    122.06x = 21,749.62
  5. Step 5: Solve for x
    x = 21,749.62/122.06
  6. Step 6: Final answer
    x = 178.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.