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Finding the Fourth Proportional to 135.18, 186.56 and 116.82

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Solution

The fourth proportional to 135.18, 186.56 and 116.82 is: 161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.18 : 186.56 = 116.82 : x
  2. Step 2: Convert to fraction form
    135.18/186.56 = 116.82/x
  3. Step 3: Cross multiply
    135.18x = 186.56 × 116.82
  4. Step 4: Simplify right side
    135.18x = 21,793.94
  5. Step 5: Solve for x
    x = 21,793.94/135.18
  6. Step 6: Final answer
    x = 161.22

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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.