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Finding the Fourth Proportional to 129.50, 194.70 and 128.84

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Solution

The fourth proportional to 129.50, 194.70 and 128.84 is: 193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.50 : 194.70 = 128.84 : x
  2. Step 2: Convert to fraction form
    129.50/194.70 = 128.84/x
  3. Step 3: Cross multiply
    129.50x = 194.70 × 128.84
  4. Step 4: Simplify right side
    129.50x = 25,085.75
  5. Step 5: Solve for x
    x = 25,085.75/129.50
  6. Step 6: Final answer
    x = 193.71

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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.