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Finding the Fourth Proportional to 135.44, 186.83 and 86.30

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Solution

The fourth proportional to 135.44, 186.83 and 86.30 is: 119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.44 : 186.83 = 86.30 : x
  2. Step 2: Convert to fraction form
    135.44/186.83 = 86.30/x
  3. Step 3: Cross multiply
    135.44x = 186.83 × 86.30
  4. Step 4: Simplify right side
    135.44x = 16,123.43
  5. Step 5: Solve for x
    x = 16,123.43/135.44
  6. Step 6: Final answer
    x = 119.04

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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.