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Finding the Fourth Proportional to 141.69, 195.21 and 117.27

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Solution

The fourth proportional to 141.69, 195.21 and 117.27 is: 161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.69 : 195.21 = 117.27 : x
  2. Step 2: Convert to fraction form
    141.69/195.21 = 117.27/x
  3. Step 3: Cross multiply
    141.69x = 195.21 × 117.27
  4. Step 4: Simplify right side
    141.69x = 22,892.28
  5. Step 5: Solve for x
    x = 22,892.28/141.69
  6. Step 6: Final answer
    x = 161.57

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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.