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Finding the Fourth Proportional to 129.37, 178.57 and 80.22

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Solution

The fourth proportional to 129.37, 178.57 and 80.22 is: 110.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.37 : 178.57 = 80.22 : x
  2. Step 2: Convert to fraction form
    129.37/178.57 = 80.22/x
  3. Step 3: Cross multiply
    129.37x = 178.57 × 80.22
  4. Step 4: Simplify right side
    129.37x = 14,324.20
  5. Step 5: Solve for x
    x = 14,324.20/129.37
  6. Step 6: Final answer
    x = 110.72

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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.