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Finding the Fourth Proportional to 122.24, 168.64 and 73.12

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Solution

The fourth proportional to 122.24, 168.64 and 73.12 is: 100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.24 : 168.64 = 73.12 : x
  2. Step 2: Convert to fraction form
    122.24/168.64 = 73.12/x
  3. Step 3: Cross multiply
    122.24x = 168.64 × 73.12
  4. Step 4: Simplify right side
    122.24x = 12,330.96
  5. Step 5: Solve for x
    x = 12,330.96/122.24
  6. Step 6: Final answer
    x = 100.87

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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.