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Finding the Fourth Proportional to 136.05, 189.07 and 134.63

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Solution

The fourth proportional to 136.05, 189.07 and 134.63 is: 187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.05 : 189.07 = 134.63 : x
  2. Step 2: Convert to fraction form
    136.05/189.07 = 134.63/x
  3. Step 3: Cross multiply
    136.05x = 189.07 × 134.63
  4. Step 4: Simplify right side
    136.05x = 25,453.92
  5. Step 5: Solve for x
    x = 25,453.92/136.05
  6. Step 6: Final answer
    x = 187.10

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.