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Finding the Fourth Proportional to 129.53, 194.01 and 83.67

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Solution

The fourth proportional to 129.53, 194.01 and 83.67 is: 125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.53 : 194.01 = 83.67 : x
  2. Step 2: Convert to fraction form
    129.53/194.01 = 83.67/x
  3. Step 3: Cross multiply
    129.53x = 194.01 × 83.67
  4. Step 4: Simplify right side
    129.53x = 16,232.82
  5. Step 5: Solve for x
    x = 16,232.82/129.53
  6. Step 6: Final answer
    x = 125.33

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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.