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Finding the Fourth Proportional to 85.71, 118.92 and 82.28

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Solution

The fourth proportional to 85.71, 118.92 and 82.28 is: 114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.71 : 118.92 = 82.28 : x
  2. Step 2: Convert to fraction form
    85.71/118.92 = 82.28/x
  3. Step 3: Cross multiply
    85.71x = 118.92 × 82.28
  4. Step 4: Simplify right side
    85.71x = 9,784.74
  5. Step 5: Solve for x
    x = 9,784.74/85.71
  6. Step 6: Final answer
    x = 114.16

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.