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Finding the Fourth Proportional to 80.66, 110.63 and 76.25

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Solution

The fourth proportional to 80.66, 110.63 and 76.25 is: 104.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.66 : 110.63 = 76.25 : x
  2. Step 2: Convert to fraction form
    80.66/110.63 = 76.25/x
  3. Step 3: Cross multiply
    80.66x = 110.63 × 76.25
  4. Step 4: Simplify right side
    80.66x = 8,435.69
  5. Step 5: Solve for x
    x = 8,435.69/80.66
  6. Step 6: Final answer
    x = 104.58

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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.