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Finding the Fourth Proportional to 141.94, 195.79 and 83.71

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Solution

The fourth proportional to 141.94, 195.79 and 83.71 is: 115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.94 : 195.79 = 83.71 : x
  2. Step 2: Convert to fraction form
    141.94/195.79 = 83.71/x
  3. Step 3: Cross multiply
    141.94x = 195.79 × 83.71
  4. Step 4: Simplify right side
    141.94x = 16,389.58
  5. Step 5: Solve for x
    x = 16,389.58/141.94
  6. Step 6: Final answer
    x = 115.47

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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.