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Finding the Fourth Proportional to 135.38, 186.75 and 82.91

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Solution

The fourth proportional to 135.38, 186.75 and 82.91 is: 114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.38 : 186.75 = 82.91 : x
  2. Step 2: Convert to fraction form
    135.38/186.75 = 82.91/x
  3. Step 3: Cross multiply
    135.38x = 186.75 × 82.91
  4. Step 4: Simplify right side
    135.38x = 15,483.44
  5. Step 5: Solve for x
    x = 15,483.44/135.38
  6. Step 6: Final answer
    x = 114.37

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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.