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Finding the Fourth Proportional to 121.20, 181.78 and 44.12

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Solution

The fourth proportional to 121.20, 181.78 and 44.12 is: 66.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.20 : 181.78 = 44.12 : x
  2. Step 2: Convert to fraction form
    121.20/181.78 = 44.12/x
  3. Step 3: Cross multiply
    121.20x = 181.78 × 44.12
  4. Step 4: Simplify right side
    121.20x = 8,020.13
  5. Step 5: Solve for x
    x = 8,020.13/121.20
  6. Step 6: Final answer
    x = 66.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.