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Finding the Fourth Proportional to 89.87, 134.54 and 65.44

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Solution

The fourth proportional to 89.87, 134.54 and 65.44 is: 97.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.87 : 134.54 = 65.44 : x
  2. Step 2: Convert to fraction form
    89.87/134.54 = 65.44/x
  3. Step 3: Cross multiply
    89.87x = 134.54 × 65.44
  4. Step 4: Simplify right side
    89.87x = 8,803.30
  5. Step 5: Solve for x
    x = 8,803.30/89.87
  6. Step 6: Final answer
    x = 97.96

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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.