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Finding the Fourth Proportional to 141.66, 195.60 and 92.57

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Solution

The fourth proportional to 141.66, 195.60 and 92.57 is: 127.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.66 : 195.60 = 92.57 : x
  2. Step 2: Convert to fraction form
    141.66/195.60 = 92.57/x
  3. Step 3: Cross multiply
    141.66x = 195.60 × 92.57
  4. Step 4: Simplify right side
    141.66x = 18,105.71
  5. Step 5: Solve for x
    x = 18,105.71/141.66
  6. Step 6: Final answer
    x = 127.81

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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.