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Finding the Fourth Proportional to 141.23, 194.90 and 83.02

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Solution

The fourth proportional to 141.23, 194.90 and 83.02 is: 114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.23 : 194.90 = 83.02 : x
  2. Step 2: Convert to fraction form
    141.23/194.90 = 83.02/x
  3. Step 3: Cross multiply
    141.23x = 194.90 × 83.02
  4. Step 4: Simplify right side
    141.23x = 16,180.32
  5. Step 5: Solve for x
    x = 16,180.32/141.23
  6. Step 6: Final answer
    x = 114.57

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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.