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Finding the Fourth Proportional to 135.57, 187.05 and 80.29

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Solution

The fourth proportional to 135.57, 187.05 and 80.29 is: 110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.57 : 187.05 = 80.29 : x
  2. Step 2: Convert to fraction form
    135.57/187.05 = 80.29/x
  3. Step 3: Cross multiply
    135.57x = 187.05 × 80.29
  4. Step 4: Simplify right side
    135.57x = 15,018.24
  5. Step 5: Solve for x
    x = 15,018.24/135.57
  6. Step 6: Final answer
    x = 110.78

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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.