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Finding the Fourth Proportional to 135.07, 186.41 and 82.62

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Solution

The fourth proportional to 135.07, 186.41 and 82.62 is: 114.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.07 : 186.41 = 82.62 : x
  2. Step 2: Convert to fraction form
    135.07/186.41 = 82.62/x
  3. Step 3: Cross multiply
    135.07x = 186.41 × 82.62
  4. Step 4: Simplify right side
    135.07x = 15,401.40
  5. Step 5: Solve for x
    x = 15,401.40/135.07
  6. Step 6: Final answer
    x = 114.03

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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.