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Finding the Fourth Proportional to 80.15, 110.49 and 59.45

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Solution

The fourth proportional to 80.15, 110.49 and 59.45 is: 81.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.15 : 110.49 = 59.45 : x
  2. Step 2: Convert to fraction form
    80.15/110.49 = 59.45/x
  3. Step 3: Cross multiply
    80.15x = 110.49 × 59.45
  4. Step 4: Simplify right side
    80.15x = 6,568.08
  5. Step 5: Solve for x
    x = 6,568.08/80.15
  6. Step 6: Final answer
    x = 81.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.