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Finding the Fourth Proportional to 122.31, 168.68 and 75.63

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Solution

The fourth proportional to 122.31, 168.68 and 75.63 is: 104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.31 : 168.68 = 75.63 : x
  2. Step 2: Convert to fraction form
    122.31/168.68 = 75.63/x
  3. Step 3: Cross multiply
    122.31x = 168.68 × 75.63
  4. Step 4: Simplify right side
    122.31x = 12,758.09
  5. Step 5: Solve for x
    x = 12,758.09/122.31
  6. Step 6: Final answer
    x = 104.31

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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.