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Finding the Fourth Proportional to 80.27, 110.68 and 64.72

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Solution

The fourth proportional to 80.27, 110.68 and 64.72 is: 89.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.27 : 110.68 = 64.72 : x
  2. Step 2: Convert to fraction form
    80.27/110.68 = 64.72/x
  3. Step 3: Cross multiply
    80.27x = 110.68 × 64.72
  4. Step 4: Simplify right side
    80.27x = 7,163.21
  5. Step 5: Solve for x
    x = 7,163.21/80.27
  6. Step 6: Final answer
    x = 89.24

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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.