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Finding the Fourth Proportional to 89.20, 133.84 and 75.68

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Solution

The fourth proportional to 89.20, 133.84 and 75.68 is: 113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.20 : 133.84 = 75.68 : x
  2. Step 2: Convert to fraction form
    89.20/133.84 = 75.68/x
  3. Step 3: Cross multiply
    89.20x = 133.84 × 75.68
  4. Step 4: Simplify right side
    89.20x = 10,129.01
  5. Step 5: Solve for x
    x = 10,129.01/89.20
  6. Step 6: Final answer
    x = 113.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.