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Finding the Fourth Proportional to 135.54, 202.96 and 89.82

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Solution

The fourth proportional to 135.54, 202.96 and 89.82 is: 134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.54 : 202.96 = 89.82 : x
  2. Step 2: Convert to fraction form
    135.54/202.96 = 89.82/x
  3. Step 3: Cross multiply
    135.54x = 202.96 × 89.82
  4. Step 4: Simplify right side
    135.54x = 18,229.87
  5. Step 5: Solve for x
    x = 18,229.87/135.54
  6. Step 6: Final answer
    x = 134.50

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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.