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Finding the Fourth Proportional to 122.31, 168.66 and 105.75

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Solution

The fourth proportional to 122.31, 168.66 and 105.75 is: 145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.31 : 168.66 = 105.75 : x
  2. Step 2: Convert to fraction form
    122.31/168.66 = 105.75/x
  3. Step 3: Cross multiply
    122.31x = 168.66 × 105.75
  4. Step 4: Simplify right side
    122.31x = 17,835.80
  5. Step 5: Solve for x
    x = 17,835.80/122.31
  6. Step 6: Final answer
    x = 145.82

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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.