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Finding the Fourth Proportional to 141.10, 194.64 and 82.87

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Solution

The fourth proportional to 141.10, 194.64 and 82.87 is: 114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.10 : 194.64 = 82.87 : x
  2. Step 2: Convert to fraction form
    141.10/194.64 = 82.87/x
  3. Step 3: Cross multiply
    141.10x = 194.64 × 82.87
  4. Step 4: Simplify right side
    141.10x = 16,129.82
  5. Step 5: Solve for x
    x = 16,129.82/141.10
  6. Step 6: Final answer
    x = 114.31

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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.