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Finding the Fourth Proportional to 141.27, 194.97 and 92.16

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Solution

The fourth proportional to 141.27, 194.97 and 92.16 is: 127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.27 : 194.97 = 92.16 : x
  2. Step 2: Convert to fraction form
    141.27/194.97 = 92.16/x
  3. Step 3: Cross multiply
    141.27x = 194.97 × 92.16
  4. Step 4: Simplify right side
    141.27x = 17,968.44
  5. Step 5: Solve for x
    x = 17,968.44/141.27
  6. Step 6: Final answer
    x = 127.19

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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.