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Finding the Fourth Proportional to 141.09, 194.66 and 82.86

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Solution

The fourth proportional to 141.09, 194.66 and 82.86 is: 114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.09 : 194.66 = 82.86 : x
  2. Step 2: Convert to fraction form
    141.09/194.66 = 82.86/x
  3. Step 3: Cross multiply
    141.09x = 194.66 × 82.86
  4. Step 4: Simplify right side
    141.09x = 16,128.14
  5. Step 5: Solve for x
    x = 16,128.14/141.09
  6. Step 6: Final answer
    x = 114.32

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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.