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Finding the Fourth Proportional to 84.17, 115.29 and 80.06

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Solution

The fourth proportional to 84.17, 115.29 and 80.06 is: 109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.17 : 115.29 = 80.06 : x
  2. Step 2: Convert to fraction form
    84.17/115.29 = 80.06/x
  3. Step 3: Cross multiply
    84.17x = 115.29 × 80.06
  4. Step 4: Simplify right side
    84.17x = 9,229.72
  5. Step 5: Solve for x
    x = 9,229.72/84.17
  6. Step 6: Final answer
    x = 109.66

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Why These Related Problems?

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