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Finding the Fourth Proportional to 89.05, 122.73 and 76.72

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Solution

The fourth proportional to 89.05, 122.73 and 76.72 is: 105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.05 : 122.73 = 76.72 : x
  2. Step 2: Convert to fraction form
    89.05/122.73 = 76.72/x
  3. Step 3: Cross multiply
    89.05x = 122.73 × 76.72
  4. Step 4: Simplify right side
    89.05x = 9,415.85
  5. Step 5: Solve for x
    x = 9,415.85/89.05
  6. Step 6: Final answer
    x = 105.74

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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.