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Finding the Fourth Proportional to 122.46, 168.93 and 81.02

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Solution

The fourth proportional to 122.46, 168.93 and 81.02 is: 111.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.46 : 168.93 = 81.02 : x
  2. Step 2: Convert to fraction form
    122.46/168.93 = 81.02/x
  3. Step 3: Cross multiply
    122.46x = 168.93 × 81.02
  4. Step 4: Simplify right side
    122.46x = 13,685.86
  5. Step 5: Solve for x
    x = 13,685.86/122.46
  6. Step 6: Final answer
    x = 111.76

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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.