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Finding the Fourth Proportional to 121.89, 183.04 and 103.77

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Solution

The fourth proportional to 121.89, 183.04 and 103.77 is: 155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.89 : 183.04 = 103.77 : x
  2. Step 2: Convert to fraction form
    121.89/183.04 = 103.77/x
  3. Step 3: Cross multiply
    121.89x = 183.04 × 103.77
  4. Step 4: Simplify right side
    121.89x = 18,994.06
  5. Step 5: Solve for x
    x = 18,994.06/121.89
  6. Step 6: Final answer
    x = 155.83

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Why These Related Problems?

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