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Finding the Fourth Proportional to 135.26, 202.75 and 54.02

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Solution

The fourth proportional to 135.26, 202.75 and 54.02 is: 80.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.26 : 202.75 = 54.02 : x
  2. Step 2: Convert to fraction form
    135.26/202.75 = 54.02/x
  3. Step 3: Cross multiply
    135.26x = 202.75 × 54.02
  4. Step 4: Simplify right side
    135.26x = 10,952.56
  5. Step 5: Solve for x
    x = 10,952.56/135.26
  6. Step 6: Final answer
    x = 80.97

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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.