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Finding the Fourth Proportional to 141.40, 195.01 and 83.13

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Solution

The fourth proportional to 141.40, 195.01 and 83.13 is: 114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.40 : 195.01 = 83.13 : x
  2. Step 2: Convert to fraction form
    141.40/195.01 = 83.13/x
  3. Step 3: Cross multiply
    141.40x = 195.01 × 83.13
  4. Step 4: Simplify right side
    141.40x = 16,211.18
  5. Step 5: Solve for x
    x = 16,211.18/141.40
  6. Step 6: Final answer
    x = 114.65

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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.