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Finding the Fourth Proportional to 135.21, 186.75 and 119.70

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Solution

The fourth proportional to 135.21, 186.75 and 119.70 is: 165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.21 : 186.75 = 119.70 : x
  2. Step 2: Convert to fraction form
    135.21/186.75 = 119.70/x
  3. Step 3: Cross multiply
    135.21x = 186.75 × 119.70
  4. Step 4: Simplify right side
    135.21x = 22,353.98
  5. Step 5: Solve for x
    x = 22,353.98/135.21
  6. Step 6: Final answer
    x = 165.33

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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.