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Finding the Fourth Proportional to 121.13, 181.22 and 120.25

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Solution

The fourth proportional to 121.13, 181.22 and 120.25 is: 179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.13 : 181.22 = 120.25 : x
  2. Step 2: Convert to fraction form
    121.13/181.22 = 120.25/x
  3. Step 3: Cross multiply
    121.13x = 181.22 × 120.25
  4. Step 4: Simplify right side
    121.13x = 21,790.65
  5. Step 5: Solve for x
    x = 21,790.65/121.13
  6. Step 6: Final answer
    x = 179.90

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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.