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Finding the Fourth Proportional to 129.96, 194.62 and 75.69

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Solution

The fourth proportional to 129.96, 194.62 and 75.69 is: 113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.96 : 194.62 = 75.69 : x
  2. Step 2: Convert to fraction form
    129.96/194.62 = 75.69/x
  3. Step 3: Cross multiply
    129.96x = 194.62 × 75.69
  4. Step 4: Simplify right side
    129.96x = 14,730.79
  5. Step 5: Solve for x
    x = 14,730.79/129.96
  6. Step 6: Final answer
    x = 113.35

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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.