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Finding the Fourth Proportional to 129.66, 194.23 and 83.84

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Solution

The fourth proportional to 129.66, 194.23 and 83.84 is: 125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.66 : 194.23 = 83.84 : x
  2. Step 2: Convert to fraction form
    129.66/194.23 = 83.84/x
  3. Step 3: Cross multiply
    129.66x = 194.23 × 83.84
  4. Step 4: Simplify right side
    129.66x = 16,284.24
  5. Step 5: Solve for x
    x = 16,284.24/129.66
  6. Step 6: Final answer
    x = 125.59

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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.