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Finding the Fourth Proportional to 141.01, 194.61 and 82.80

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Solution

The fourth proportional to 141.01, 194.61 and 82.80 is: 114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.01 : 194.61 = 82.80 : x
  2. Step 2: Convert to fraction form
    141.01/194.61 = 82.80/x
  3. Step 3: Cross multiply
    141.01x = 194.61 × 82.80
  4. Step 4: Simplify right side
    141.01x = 16,113.71
  5. Step 5: Solve for x
    x = 16,113.71/141.01
  6. Step 6: Final answer
    x = 114.27

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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.