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Finding the Fourth Proportional to 141.23, 194.88 and 83

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Solution

The fourth proportional to 141.23, 194.88 and 83 is: 114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.23 : 194.88 = 83 : x
  2. Step 2: Convert to fraction form
    141.23/194.88 = 83/x
  3. Step 3: Cross multiply
    141.23x = 194.88 × 83
  4. Step 4: Simplify right side
    141.23x = 16,175.04
  5. Step 5: Solve for x
    x = 16,175.04/141.23
  6. Step 6: Final answer
    x = 114.53

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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.