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Finding the Fourth Proportional to 135.34, 186.68 and 86.14

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Solution

The fourth proportional to 135.34, 186.68 and 86.14 is: 118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.34 : 186.68 = 86.14 : x
  2. Step 2: Convert to fraction form
    135.34/186.68 = 86.14/x
  3. Step 3: Cross multiply
    135.34x = 186.68 × 86.14
  4. Step 4: Simplify right side
    135.34x = 16,080.62
  5. Step 5: Solve for x
    x = 16,080.62/135.34
  6. Step 6: Final answer
    x = 118.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.