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Finding the Fourth Proportional to 122.63, 168.32 and 109.22

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Solution

The fourth proportional to 122.63, 168.32 and 109.22 is: 149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.63 : 168.32 = 109.22 : x
  2. Step 2: Convert to fraction form
    122.63/168.32 = 109.22/x
  3. Step 3: Cross multiply
    122.63x = 168.32 × 109.22
  4. Step 4: Simplify right side
    122.63x = 18,383.91
  5. Step 5: Solve for x
    x = 18,383.91/122.63
  6. Step 6: Final answer
    x = 149.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.