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Finding the Fourth Proportional to 122.36, 183.30 and 109.47

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Solution

The fourth proportional to 122.36, 183.30 and 109.47 is: 163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.36 : 183.30 = 109.47 : x
  2. Step 2: Convert to fraction form
    122.36/183.30 = 109.47/x
  3. Step 3: Cross multiply
    122.36x = 183.30 × 109.47
  4. Step 4: Simplify right side
    122.36x = 20,065.85
  5. Step 5: Solve for x
    x = 20,065.85/122.36
  6. Step 6: Final answer
    x = 163.99

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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.