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Finding the Fourth Proportional to 122.03, 168.41 and 66.77

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Solution

The fourth proportional to 122.03, 168.41 and 66.77 is: 92.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.03 : 168.41 = 66.77 : x
  2. Step 2: Convert to fraction form
    122.03/168.41 = 66.77/x
  3. Step 3: Cross multiply
    122.03x = 168.41 × 66.77
  4. Step 4: Simplify right side
    122.03x = 11,243.56
  5. Step 5: Solve for x
    x = 11,243.56/122.03
  6. Step 6: Final answer
    x = 92.14

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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.