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Finding the Fourth Proportional to 129.85, 194.77 and 78.82

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Solution

The fourth proportional to 129.85, 194.77 and 78.82 is: 118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.85 : 194.77 = 78.82 : x
  2. Step 2: Convert to fraction form
    129.85/194.77 = 78.82/x
  3. Step 3: Cross multiply
    129.85x = 194.77 × 78.82
  4. Step 4: Simplify right side
    129.85x = 15,352.48
  5. Step 5: Solve for x
    x = 15,352.48/129.85
  6. Step 6: Final answer
    x = 118.23

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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.