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Finding the Fourth Proportional to 141.08, 194.70 and 82.84

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Solution

The fourth proportional to 141.08, 194.70 and 82.84 is: 114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.08 : 194.70 = 82.84 : x
  2. Step 2: Convert to fraction form
    141.08/194.70 = 82.84/x
  3. Step 3: Cross multiply
    141.08x = 194.70 × 82.84
  4. Step 4: Simplify right side
    141.08x = 16,128.95
  5. Step 5: Solve for x
    x = 16,128.95/141.08
  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.