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Finding the Fourth Proportional to 89.87, 134.90 and 53.82

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Solution

The fourth proportional to 89.87, 134.90 and 53.82 is: 80.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.87 : 134.90 = 53.82 : x
  2. Step 2: Convert to fraction form
    89.87/134.90 = 53.82/x
  3. Step 3: Cross multiply
    89.87x = 134.90 × 53.82
  4. Step 4: Simplify right side
    89.87x = 7,260.05
  5. Step 5: Solve for x
    x = 7,260.05/89.87
  6. Step 6: Final answer
    x = 80.79

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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.