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Finding the Fourth Proportional to 135.73, 186.96 and 100.63

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Solution

The fourth proportional to 135.73, 186.96 and 100.63 is: 138.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.73 : 186.96 = 100.63 : x
  2. Step 2: Convert to fraction form
    135.73/186.96 = 100.63/x
  3. Step 3: Cross multiply
    135.73x = 186.96 × 100.63
  4. Step 4: Simplify right side
    135.73x = 18,813.78
  5. Step 5: Solve for x
    x = 18,813.78/135.73
  6. Step 6: Final answer
    x = 138.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.