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Finding the Fourth Proportional to 122.91, 169.64 and 76.31

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Solution

The fourth proportional to 122.91, 169.64 and 76.31 is: 105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.91 : 169.64 = 76.31 : x
  2. Step 2: Convert to fraction form
    122.91/169.64 = 76.31/x
  3. Step 3: Cross multiply
    122.91x = 169.64 × 76.31
  4. Step 4: Simplify right side
    122.91x = 12,944.57
  5. Step 5: Solve for x
    x = 12,944.57/122.91
  6. Step 6: Final answer
    x = 105.32

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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.