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Finding the Fourth Proportional to 135.42, 202.92 and 81.26

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Solution

The fourth proportional to 135.42, 202.92 and 81.26 is: 121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.42 : 202.92 = 81.26 : x
  2. Step 2: Convert to fraction form
    135.42/202.92 = 81.26/x
  3. Step 3: Cross multiply
    135.42x = 202.92 × 81.26
  4. Step 4: Simplify right side
    135.42x = 16,489.28
  5. Step 5: Solve for x
    x = 16,489.28/135.42
  6. Step 6: Final answer
    x = 121.76

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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.