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Finding the Fourth Proportional to 135.40, 186.82 and 82.96

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Solution

The fourth proportional to 135.40, 186.82 and 82.96 is: 114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.40 : 186.82 = 82.96 : x
  2. Step 2: Convert to fraction form
    135.40/186.82 = 82.96/x
  3. Step 3: Cross multiply
    135.40x = 186.82 × 82.96
  4. Step 4: Simplify right side
    135.40x = 15,498.59
  5. Step 5: Solve for x
    x = 15,498.59/135.40
  6. Step 6: Final answer
    x = 114.47

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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.