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Finding the Fourth Proportional to 141.12, 194.81 and 92.07

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Solution

The fourth proportional to 141.12, 194.81 and 92.07 is: 127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.12 : 194.81 = 92.07 : x
  2. Step 2: Convert to fraction form
    141.12/194.81 = 92.07/x
  3. Step 3: Cross multiply
    141.12x = 194.81 × 92.07
  4. Step 4: Simplify right side
    141.12x = 17,935.70
  5. Step 5: Solve for x
    x = 17,935.70/141.12
  6. Step 6: Final answer
    x = 127.10

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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.