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Finding the Fourth Proportional to 135.35, 203.06 and 89.87

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Solution

The fourth proportional to 135.35, 203.06 and 89.87 is: 134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.35 : 203.06 = 89.87 : x
  2. Step 2: Convert to fraction form
    135.35/203.06 = 89.87/x
  3. Step 3: Cross multiply
    135.35x = 203.06 × 89.87
  4. Step 4: Simplify right side
    135.35x = 18,249.73
  5. Step 5: Solve for x
    x = 18,249.73/135.35
  6. Step 6: Final answer
    x = 134.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.