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Finding the Fourth Proportional to 89.35, 134.34 and 82.21

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Solution

The fourth proportional to 89.35, 134.34 and 82.21 is: 123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.35 : 134.34 = 82.21 : x
  2. Step 2: Convert to fraction form
    89.35/134.34 = 82.21/x
  3. Step 3: Cross multiply
    89.35x = 134.34 × 82.21
  4. Step 4: Simplify right side
    89.35x = 11,044.10
  5. Step 5: Solve for x
    x = 11,044.10/89.35
  6. Step 6: Final answer
    x = 123.61

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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.