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Finding the Fourth Proportional to 84.26, 115.59 and 80.07

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Solution

The fourth proportional to 84.26, 115.59 and 80.07 is: 109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.26 : 115.59 = 80.07 : x
  2. Step 2: Convert to fraction form
    84.26/115.59 = 80.07/x
  3. Step 3: Cross multiply
    84.26x = 115.59 × 80.07
  4. Step 4: Simplify right side
    84.26x = 9,255.29
  5. Step 5: Solve for x
    x = 9,255.29/84.26
  6. Step 6: Final answer
    x = 109.85

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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.