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Finding the Fourth Proportional to 135.34, 186.67 and 86.16

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Solution

The fourth proportional to 135.34, 186.67 and 86.16 is: 118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.34 : 186.67 = 86.16 : x
  2. Step 2: Convert to fraction form
    135.34/186.67 = 86.16/x
  3. Step 3: Cross multiply
    135.34x = 186.67 × 86.16
  4. Step 4: Simplify right side
    135.34x = 16,084.29
  5. Step 5: Solve for x
    x = 16,084.29/135.34
  6. Step 6: Final answer
    x = 118.85

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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.