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Finding the Fourth Proportional to 141.09, 194.70 and 82.90

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Solution

The fourth proportional to 141.09, 194.70 and 82.90 is: 114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.09 : 194.70 = 82.90 : x
  2. Step 2: Convert to fraction form
    141.09/194.70 = 82.90/x
  3. Step 3: Cross multiply
    141.09x = 194.70 × 82.90
  4. Step 4: Simplify right side
    141.09x = 16,140.63
  5. Step 5: Solve for x
    x = 16,140.63/141.09
  6. Step 6: Final answer
    x = 114.40

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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.