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Finding the Fourth Proportional to 129.83, 194.57 and 68.83

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Solution

The fourth proportional to 129.83, 194.57 and 68.83 is: 103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.83 : 194.57 = 68.83 : x
  2. Step 2: Convert to fraction form
    129.83/194.57 = 68.83/x
  3. Step 3: Cross multiply
    129.83x = 194.57 × 68.83
  4. Step 4: Simplify right side
    129.83x = 13,392.25
  5. Step 5: Solve for x
    x = 13,392.25/129.83
  6. Step 6: Final answer
    x = 103.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.