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Finding the Fourth Proportional to 89.28, 122.58 and 74.70

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Solution

The fourth proportional to 89.28, 122.58 and 74.70 is: 102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.28 : 122.58 = 74.70 : x
  2. Step 2: Convert to fraction form
    89.28/122.58 = 74.70/x
  3. Step 3: Cross multiply
    89.28x = 122.58 × 74.70
  4. Step 4: Simplify right side
    89.28x = 9,156.73
  5. Step 5: Solve for x
    x = 9,156.73/89.28
  6. Step 6: Final answer
    x = 102.56

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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.