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Finding the Fourth Proportional to 94.62, 130.73 and 84.27

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Solution

The fourth proportional to 94.62, 130.73 and 84.27 is: 116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.62 : 130.73 = 84.27 : x
  2. Step 2: Convert to fraction form
    94.62/130.73 = 84.27/x
  3. Step 3: Cross multiply
    94.62x = 130.73 × 84.27
  4. Step 4: Simplify right side
    94.62x = 11,016.20
  5. Step 5: Solve for x
    x = 11,016.20/94.62
  6. Step 6: Final answer
    x = 116.43

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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.