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Finding the Fourth Proportional to 122.08, 183.32 and 107.72

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Solution

The fourth proportional to 122.08, 183.32 and 107.72 is: 161.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.08 : 183.32 = 107.72 : x
  2. Step 2: Convert to fraction form
    122.08/183.32 = 107.72/x
  3. Step 3: Cross multiply
    122.08x = 183.32 × 107.72
  4. Step 4: Simplify right side
    122.08x = 19,747.23
  5. Step 5: Solve for x
    x = 19,747.23/122.08
  6. Step 6: Final answer
    x = 161.76

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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.