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Finding the Fourth Proportional to 135.31, 202.79 and 102.56

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Solution

The fourth proportional to 135.31, 202.79 and 102.56 is: 153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.31 : 202.79 = 102.56 : x
  2. Step 2: Convert to fraction form
    135.31/202.79 = 102.56/x
  3. Step 3: Cross multiply
    135.31x = 202.79 × 102.56
  4. Step 4: Simplify right side
    135.31x = 20,797.13
  5. Step 5: Solve for x
    x = 20,797.13/135.31
  6. Step 6: Final answer
    x = 153.71

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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.