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Finding the Fourth Proportional to 121.20, 181.44 and 84.96

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Solution

The fourth proportional to 121.20, 181.44 and 84.96 is: 127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.20 : 181.44 = 84.96 : x
  2. Step 2: Convert to fraction form
    121.20/181.44 = 84.96/x
  3. Step 3: Cross multiply
    121.20x = 181.44 × 84.96
  4. Step 4: Simplify right side
    121.20x = 15,415.14
  5. Step 5: Solve for x
    x = 15,415.14/121.20
  6. Step 6: Final answer
    x = 127.19

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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.