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Finding the Fourth Proportional to 141.98, 195.93 and 83.78

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Solution

The fourth proportional to 141.98, 195.93 and 83.78 is: 115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.98 : 195.93 = 83.78 : x
  2. Step 2: Convert to fraction form
    141.98/195.93 = 83.78/x
  3. Step 3: Cross multiply
    141.98x = 195.93 × 83.78
  4. Step 4: Simplify right side
    141.98x = 16,415.02
  5. Step 5: Solve for x
    x = 16,415.02/141.98
  6. Step 6: Final answer
    x = 115.61

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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.