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Finding the Fourth Proportional to 141.23, 194.96 and 83.00

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Solution

The fourth proportional to 141.23, 194.96 and 83.00 is: 114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.23 : 194.96 = 83.00 : x
  2. Step 2: Convert to fraction form
    141.23/194.96 = 83.00/x
  3. Step 3: Cross multiply
    141.23x = 194.96 × 83.00
  4. Step 4: Simplify right side
    141.23x = 16,181.40
  5. Step 5: Solve for x
    x = 16,181.40/141.23
  6. Step 6: Final answer
    x = 114.58

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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.