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Finding the Fourth Proportional to 129.90, 194.85 and 51.80

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Solution

The fourth proportional to 129.90, 194.85 and 51.80 is: 77.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.90 : 194.85 = 51.80 : x
  2. Step 2: Convert to fraction form
    129.90/194.85 = 51.80/x
  3. Step 3: Cross multiply
    129.90x = 194.85 × 51.80
  4. Step 4: Simplify right side
    129.90x = 10,092.26
  5. Step 5: Solve for x
    x = 10,092.26/129.90
  6. Step 6: Final answer
    x = 77.69

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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.