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Finding the Fourth Proportional to 129.37, 178.39 and 82.67

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Solution

The fourth proportional to 129.37, 178.39 and 82.67 is: 113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.37 : 178.39 = 82.67 : x
  2. Step 2: Convert to fraction form
    129.37/178.39 = 82.67/x
  3. Step 3: Cross multiply
    129.37x = 178.39 × 82.67
  4. Step 4: Simplify right side
    129.37x = 14,747.50
  5. Step 5: Solve for x
    x = 14,747.50/129.37
  6. Step 6: Final answer
    x = 113.99

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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.