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Finding the Fourth Proportional to 122.63, 168.93 and 105.09

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Solution

The fourth proportional to 122.63, 168.93 and 105.09 is: 144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.63 : 168.93 = 105.09 : x
  2. Step 2: Convert to fraction form
    122.63/168.93 = 105.09/x
  3. Step 3: Cross multiply
    122.63x = 168.93 × 105.09
  4. Step 4: Simplify right side
    122.63x = 17,752.85
  5. Step 5: Solve for x
    x = 17,752.85/122.63
  6. Step 6: Final answer
    x = 144.77

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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.