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Finding the Fourth Proportional to 141.36, 194.96 and 92.25

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Solution

The fourth proportional to 141.36, 194.96 and 92.25 is: 127.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.36 : 194.96 = 92.25 : x
  2. Step 2: Convert to fraction form
    141.36/194.96 = 92.25/x
  3. Step 3: Cross multiply
    141.36x = 194.96 × 92.25
  4. Step 4: Simplify right side
    141.36x = 17,984.60
  5. Step 5: Solve for x
    x = 17,984.60/141.36
  6. Step 6: Final answer
    x = 127.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.