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Finding the Fourth Proportional to 129, 193.50 and 80.94

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Solution

The fourth proportional to 129, 193.50 and 80.94 is: 121.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129 : 193.50 = 80.94 : x
  2. Step 2: Convert to fraction form
    129/193.50 = 80.94/x
  3. Step 3: Cross multiply
    129x = 193.50 × 80.94
  4. Step 4: Simplify right side
    129x = 15,661.89
  5. Step 5: Solve for x
    x = 15,661.89/129
  6. Step 6: Final answer
    x = 121.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.