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Finding the Fourth Proportional to 135.66, 203.74 and 81.52

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Solution

The fourth proportional to 135.66, 203.74 and 81.52 is: 122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.66 : 203.74 = 81.52 : x
  2. Step 2: Convert to fraction form
    135.66/203.74 = 81.52/x
  3. Step 3: Cross multiply
    135.66x = 203.74 × 81.52
  4. Step 4: Simplify right side
    135.66x = 16,608.88
  5. Step 5: Solve for x
    x = 16,608.88/135.66
  6. Step 6: Final answer
    x = 122.43

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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.