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Finding the Fourth Proportional to 122.22, 168.69 and 73.11

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Solution

The fourth proportional to 122.22, 168.69 and 73.11 is: 100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.22 : 168.69 = 73.11 : x
  2. Step 2: Convert to fraction form
    122.22/168.69 = 73.11/x
  3. Step 3: Cross multiply
    122.22x = 168.69 × 73.11
  4. Step 4: Simplify right side
    122.22x = 12,332.93
  5. Step 5: Solve for x
    x = 12,332.93/122.22
  6. Step 6: Final answer
    x = 100.91

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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.