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Finding the Fourth Proportional to 135.31, 202.83 and 74.47

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Solution

The fourth proportional to 135.31, 202.83 and 74.47 is: 111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.31 : 202.83 = 74.47 : x
  2. Step 2: Convert to fraction form
    135.31/202.83 = 74.47/x
  3. Step 3: Cross multiply
    135.31x = 202.83 × 74.47
  4. Step 4: Simplify right side
    135.31x = 15,104.75
  5. Step 5: Solve for x
    x = 15,104.75/135.31
  6. Step 6: Final answer
    x = 111.63

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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.