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Finding the Fourth Proportional to 121.09, 181.69 and 60.20

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Solution

The fourth proportional to 121.09, 181.69 and 60.20 is: 90.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.09 : 181.69 = 60.20 : x
  2. Step 2: Convert to fraction form
    121.09/181.69 = 60.20/x
  3. Step 3: Cross multiply
    121.09x = 181.69 × 60.20
  4. Step 4: Simplify right side
    121.09x = 10,937.44
  5. Step 5: Solve for x
    x = 10,937.44/121.09
  6. Step 6: Final answer
    x = 90.33

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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.