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Finding the Fourth Proportional to 135.21, 186.50 and 86.11

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Solution

The fourth proportional to 135.21, 186.50 and 86.11 is: 118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.21 : 186.50 = 86.11 : x
  2. Step 2: Convert to fraction form
    135.21/186.50 = 86.11/x
  3. Step 3: Cross multiply
    135.21x = 186.50 × 86.11
  4. Step 4: Simplify right side
    135.21x = 16,060.31
  5. Step 5: Solve for x
    x = 16,060.31/135.21
  6. Step 6: Final answer
    x = 118.78

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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.