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Finding the Fourth Proportional to 89.64, 135.05 and 82.85

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Solution

The fourth proportional to 89.64, 135.05 and 82.85 is: 124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.64 : 135.05 = 82.85 : x
  2. Step 2: Convert to fraction form
    89.64/135.05 = 82.85/x
  3. Step 3: Cross multiply
    89.64x = 135.05 × 82.85
  4. Step 4: Simplify right side
    89.64x = 11,187.80
  5. Step 5: Solve for x
    x = 11,187.80/89.64
  6. Step 6: Final answer
    x = 124.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.