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Finding the Fourth Proportional to 84.71, 116.17 and 84.31

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Solution

The fourth proportional to 84.71, 116.17 and 84.31 is: 115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.71 : 116.17 = 84.31 : x
  2. Step 2: Convert to fraction form
    84.71/116.17 = 84.31/x
  3. Step 3: Cross multiply
    84.71x = 116.17 × 84.31
  4. Step 4: Simplify right side
    84.71x = 9,794.29
  5. Step 5: Solve for x
    x = 9,794.29/84.71
  6. Step 6: Final answer
    x = 115.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.