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Finding the Fourth Proportional to 129.97, 194.81 and 75.70

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Solution

The fourth proportional to 129.97, 194.81 and 75.70 is: 113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.97 : 194.81 = 75.70 : x
  2. Step 2: Convert to fraction form
    129.97/194.81 = 75.70/x
  3. Step 3: Cross multiply
    129.97x = 194.81 × 75.70
  4. Step 4: Simplify right side
    129.97x = 14,746.98
  5. Step 5: Solve for x
    x = 14,746.98/129.97
  6. Step 6: Final answer
    x = 113.46

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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.