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Finding the Fourth Proportional to 141.97, 195.93 and 117.34

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Solution

The fourth proportional to 141.97, 195.93 and 117.34 is: 161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.97 : 195.93 = 117.34 : x
  2. Step 2: Convert to fraction form
    141.97/195.93 = 117.34/x
  3. Step 3: Cross multiply
    141.97x = 195.93 × 117.34
  4. Step 4: Simplify right side
    141.97x = 22,990.43
  5. Step 5: Solve for x
    x = 22,990.43/141.97
  6. Step 6: Final answer
    x = 161.94

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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.