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Finding the Fourth Proportional to 122.50, 183.21 and 109.54

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Solution

The fourth proportional to 122.50, 183.21 and 109.54 is: 163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.50 : 183.21 = 109.54 : x
  2. Step 2: Convert to fraction form
    122.50/183.21 = 109.54/x
  3. Step 3: Cross multiply
    122.50x = 183.21 × 109.54
  4. Step 4: Simplify right side
    122.50x = 20,068.82
  5. Step 5: Solve for x
    x = 20,068.82/122.50
  6. Step 6: Final answer
    x = 163.83

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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.