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Finding the Fourth Proportional to 122.98, 184.56 and 50.83

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Solution

The fourth proportional to 122.98, 184.56 and 50.83 is: 76.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.98 : 184.56 = 50.83 : x
  2. Step 2: Convert to fraction form
    122.98/184.56 = 50.83/x
  3. Step 3: Cross multiply
    122.98x = 184.56 × 50.83
  4. Step 4: Simplify right side
    122.98x = 9,380.01
  5. Step 5: Solve for x
    x = 9,380.01/122.98
  6. Step 6: Final answer
    x = 76.27

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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.