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Finding the Fourth Proportional to 89.28, 122.32 and 77.76

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Solution

The fourth proportional to 89.28, 122.32 and 77.76 is: 106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.28 : 122.32 = 77.76 : x
  2. Step 2: Convert to fraction form
    89.28/122.32 = 77.76/x
  3. Step 3: Cross multiply
    89.28x = 122.32 × 77.76
  4. Step 4: Simplify right side
    89.28x = 9,511.60
  5. Step 5: Solve for x
    x = 9,511.60/89.28
  6. Step 6: Final answer
    x = 106.54

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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.