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Finding the Fourth Proportional to 121.90, 183.78 and 120.54

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Solution

The fourth proportional to 121.90, 183.78 and 120.54 is: 181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.90 : 183.78 = 120.54 : x
  2. Step 2: Convert to fraction form
    121.90/183.78 = 120.54/x
  3. Step 3: Cross multiply
    121.90x = 183.78 × 120.54
  4. Step 4: Simplify right side
    121.90x = 22,152.84
  5. Step 5: Solve for x
    x = 22,152.84/121.90
  6. Step 6: Final answer
    x = 181.73

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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.