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Finding the Fourth Proportional to 120.62, 181.01 and 82.01

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Solution

The fourth proportional to 120.62, 181.01 and 82.01 is: 123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.62 : 181.01 = 82.01 : x
  2. Step 2: Convert to fraction form
    120.62/181.01 = 82.01/x
  3. Step 3: Cross multiply
    120.62x = 181.01 × 82.01
  4. Step 4: Simplify right side
    120.62x = 14,843.73
  5. Step 5: Solve for x
    x = 14,843.73/120.62
  6. Step 6: Final answer
    x = 123.07

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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.