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Finding the Fourth Proportional to 122.63, 169.36 and 83.75

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Solution

The fourth proportional to 122.63, 169.36 and 83.75 is: 115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.63 : 169.36 = 83.75 : x
  2. Step 2: Convert to fraction form
    122.63/169.36 = 83.75/x
  3. Step 3: Cross multiply
    122.63x = 169.36 × 83.75
  4. Step 4: Simplify right side
    122.63x = 14,183.90
  5. Step 5: Solve for x
    x = 14,183.90/122.63
  6. Step 6: Final answer
    x = 115.66

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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.