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Finding the Fourth Proportional to 121.78, 183.37 and 85.95

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Solution

The fourth proportional to 121.78, 183.37 and 85.95 is: 129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.78 : 183.37 = 85.95 : x
  2. Step 2: Convert to fraction form
    121.78/183.37 = 85.95/x
  3. Step 3: Cross multiply
    121.78x = 183.37 × 85.95
  4. Step 4: Simplify right side
    121.78x = 15,760.65
  5. Step 5: Solve for x
    x = 15,760.65/121.78
  6. Step 6: Final answer
    x = 129.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.