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Finding the Fourth Proportional to 129.45, 178.74 and 122.96

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Solution

The fourth proportional to 129.45, 178.74 and 122.96 is: 169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.45 : 178.74 = 122.96 : x
  2. Step 2: Convert to fraction form
    129.45/178.74 = 122.96/x
  3. Step 3: Cross multiply
    129.45x = 178.74 × 122.96
  4. Step 4: Simplify right side
    129.45x = 21,977.87
  5. Step 5: Solve for x
    x = 21,977.87/129.45
  6. Step 6: Final answer
    x = 169.78

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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.