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Finding the Fourth Proportional to 141.83, 195.69 and 86.57

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Solution

The fourth proportional to 141.83, 195.69 and 86.57 is: 119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.83 : 195.69 = 86.57 : x
  2. Step 2: Convert to fraction form
    141.83/195.69 = 86.57/x
  3. Step 3: Cross multiply
    141.83x = 195.69 × 86.57
  4. Step 4: Simplify right side
    141.83x = 16,940.88
  5. Step 5: Solve for x
    x = 16,940.88/141.83
  6. Step 6: Final answer
    x = 119.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.