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Finding the Fourth Proportional to 129.60, 193.46 and 120.56

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Solution

The fourth proportional to 129.60, 193.46 and 120.56 is: 179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.60 : 193.46 = 120.56 : x
  2. Step 2: Convert to fraction form
    129.60/193.46 = 120.56/x
  3. Step 3: Cross multiply
    129.60x = 193.46 × 120.56
  4. Step 4: Simplify right side
    129.60x = 23,321.97
  5. Step 5: Solve for x
    x = 23,321.97/129.60
  6. Step 6: Final answer
    x = 179.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.