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Finding the Fourth Proportional to 84.03, 116.05 and 82.89

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Solution

The fourth proportional to 84.03, 116.05 and 82.89 is: 114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.03 : 116.05 = 82.89 : x
  2. Step 2: Convert to fraction form
    84.03/116.05 = 82.89/x
  3. Step 3: Cross multiply
    84.03x = 116.05 × 82.89
  4. Step 4: Simplify right side
    84.03x = 9,619.01
  5. Step 5: Solve for x
    x = 9,619.01/84.03
  6. Step 6: Final answer
    x = 114.48

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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.