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Finding the Fourth Proportional to 122.08, 183.10 and 107.76

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Solution

The fourth proportional to 122.08, 183.10 and 107.76 is: 161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.08 : 183.10 = 107.76 : x
  2. Step 2: Convert to fraction form
    122.08/183.10 = 107.76/x
  3. Step 3: Cross multiply
    122.08x = 183.10 × 107.76
  4. Step 4: Simplify right side
    122.08x = 19,730.86
  5. Step 5: Solve for x
    x = 19,730.86/122.08
  6. Step 6: Final answer
    x = 161.62

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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.