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Finding the Fourth Proportional to 80.21, 110.67 and 61.76

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Solution

The fourth proportional to 80.21, 110.67 and 61.76 is: 85.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.21 : 110.67 = 61.76 : x
  2. Step 2: Convert to fraction form
    80.21/110.67 = 61.76/x
  3. Step 3: Cross multiply
    80.21x = 110.67 × 61.76
  4. Step 4: Simplify right side
    80.21x = 6,834.43
  5. Step 5: Solve for x
    x = 6,834.43/80.21
  6. Step 6: Final answer
    x = 85.21

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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.