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Finding the Fourth Proportional to 89.08, 132.97 and 76.97

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Solution

The fourth proportional to 89.08, 132.97 and 76.97 is: 114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.08 : 132.97 = 76.97 : x
  2. Step 2: Convert to fraction form
    89.08/132.97 = 76.97/x
  3. Step 3: Cross multiply
    89.08x = 132.97 × 76.97
  4. Step 4: Simplify right side
    89.08x = 10,234.99
  5. Step 5: Solve for x
    x = 10,234.99/89.08
  6. Step 6: Final answer
    x = 114.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.