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Finding the Fourth Proportional to 129.89, 194.84 and 110.76

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Solution

The fourth proportional to 129.89, 194.84 and 110.76 is: 166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.89 : 194.84 = 110.76 : x
  2. Step 2: Convert to fraction form
    129.89/194.84 = 110.76/x
  3. Step 3: Cross multiply
    129.89x = 194.84 × 110.76
  4. Step 4: Simplify right side
    129.89x = 21,579.92
  5. Step 5: Solve for x
    x = 21,579.92/129.89
  6. Step 6: Final answer
    x = 166.15

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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.