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Finding the Fourth Proportional to 141.14, 194.70 and 94.46

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Solution

The fourth proportional to 141.14, 194.70 and 94.46 is: 130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.14 : 194.70 = 94.46 : x
  2. Step 2: Convert to fraction form
    141.14/194.70 = 94.46/x
  3. Step 3: Cross multiply
    141.14x = 194.70 × 94.46
  4. Step 4: Simplify right side
    141.14x = 18,391.36
  5. Step 5: Solve for x
    x = 18,391.36/141.14
  6. Step 6: Final answer
    x = 130.31

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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.