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Finding the Fourth Proportional to 84.40, 116.22 and 84.13

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Solution

The fourth proportional to 84.40, 116.22 and 84.13 is: 115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.40 : 116.22 = 84.13 : x
  2. Step 2: Convert to fraction form
    84.40/116.22 = 84.13/x
  3. Step 3: Cross multiply
    84.40x = 116.22 × 84.13
  4. Step 4: Simplify right side
    84.40x = 9,777.59
  5. Step 5: Solve for x
    x = 9,777.59/84.40
  6. Step 6: Final answer
    x = 115.85

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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.