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Finding the Fourth Proportional to 135.78, 203.42 and 92.82

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Solution

The fourth proportional to 135.78, 203.42 and 92.82 is: 139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.78 : 203.42 = 92.82 : x
  2. Step 2: Convert to fraction form
    135.78/203.42 = 92.82/x
  3. Step 3: Cross multiply
    135.78x = 203.42 × 92.82
  4. Step 4: Simplify right side
    135.78x = 18,880.43
  5. Step 5: Solve for x
    x = 18,880.43/135.78
  6. Step 6: Final answer
    x = 139.06

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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.