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Finding the Fourth Proportional to 136.91, 189.03 and 84.52

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Solution

The fourth proportional to 136.91, 189.03 and 84.52 is: 116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.91 : 189.03 = 84.52 : x
  2. Step 2: Convert to fraction form
    136.91/189.03 = 84.52/x
  3. Step 3: Cross multiply
    136.91x = 189.03 × 84.52
  4. Step 4: Simplify right side
    136.91x = 15,975.92
  5. Step 5: Solve for x
    x = 15,975.92/136.91
  6. Step 6: Final answer
    x = 116.69

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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.