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Finding the Fourth Proportional to 135.09, 186.42 and 82.64

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Solution

The fourth proportional to 135.09, 186.42 and 82.64 is: 114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.09 : 186.42 = 82.64 : x
  2. Step 2: Convert to fraction form
    135.09/186.42 = 82.64/x
  3. Step 3: Cross multiply
    135.09x = 186.42 × 82.64
  4. Step 4: Simplify right side
    135.09x = 15,405.75
  5. Step 5: Solve for x
    x = 15,405.75/135.09
  6. Step 6: Final answer
    x = 114.04

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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.