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Finding the Fourth Proportional to 135.53, 202.96 and 89.83

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Solution

The fourth proportional to 135.53, 202.96 and 89.83 is: 134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.53 : 202.96 = 89.83 : x
  2. Step 2: Convert to fraction form
    135.53/202.96 = 89.83/x
  3. Step 3: Cross multiply
    135.53x = 202.96 × 89.83
  4. Step 4: Simplify right side
    135.53x = 18,231.90
  5. Step 5: Solve for x
    x = 18,231.90/135.53
  6. Step 6: Final answer
    x = 134.52

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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.