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Finding the Fourth Proportional to 83.61, 114.55 and 80.37

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Solution

The fourth proportional to 83.61, 114.55 and 80.37 is: 110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.61 : 114.55 = 80.37 : x
  2. Step 2: Convert to fraction form
    83.61/114.55 = 80.37/x
  3. Step 3: Cross multiply
    83.61x = 114.55 × 80.37
  4. Step 4: Simplify right side
    83.61x = 9,206.18
  5. Step 5: Solve for x
    x = 9,206.18/83.61
  6. Step 6: Final answer
    x = 110.11

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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.