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Finding the Fourth Proportional to 135.73, 187.33 and 80.49

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Solution

The fourth proportional to 135.73, 187.33 and 80.49 is: 111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.73 : 187.33 = 80.49 : x
  2. Step 2: Convert to fraction form
    135.73/187.33 = 80.49/x
  3. Step 3: Cross multiply
    135.73x = 187.33 × 80.49
  4. Step 4: Simplify right side
    135.73x = 15,078.84
  5. Step 5: Solve for x
    x = 15,078.84/135.73
  6. Step 6: Final answer
    x = 111.10

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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.