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Finding the Fourth Proportional to 122.83, 169.44 and 76.75

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Solution

The fourth proportional to 122.83, 169.44 and 76.75 is: 105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.83 : 169.44 = 76.75 : x
  2. Step 2: Convert to fraction form
    122.83/169.44 = 76.75/x
  3. Step 3: Cross multiply
    122.83x = 169.44 × 76.75
  4. Step 4: Simplify right side
    122.83x = 13,004.14
  5. Step 5: Solve for x
    x = 13,004.14/122.83
  6. Step 6: Final answer
    x = 105.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.