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Finding the Fourth Proportional to 129.58, 178.74 and 80.44

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Solution

The fourth proportional to 129.58, 178.74 and 80.44 is: 110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.58 : 178.74 = 80.44 : x
  2. Step 2: Convert to fraction form
    129.58/178.74 = 80.44/x
  3. Step 3: Cross multiply
    129.58x = 178.74 × 80.44
  4. Step 4: Simplify right side
    129.58x = 14,377.85
  5. Step 5: Solve for x
    x = 14,377.85/129.58
  6. Step 6: Final answer
    x = 110.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.