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Finding the Fourth Proportional to 89.11, 132.82 and 83.85

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Solution

The fourth proportional to 89.11, 132.82 and 83.85 is: 124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.11 : 132.82 = 83.85 : x
  2. Step 2: Convert to fraction form
    89.11/132.82 = 83.85/x
  3. Step 3: Cross multiply
    89.11x = 132.82 × 83.85
  4. Step 4: Simplify right side
    89.11x = 11,136.96
  5. Step 5: Solve for x
    x = 11,136.96/89.11
  6. Step 6: Final answer
    x = 124.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.