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Finding the Fourth Proportional to 136.62, 188.61 and 109.08

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Solution

The fourth proportional to 136.62, 188.61 and 109.08 is: 150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.62 : 188.61 = 109.08 : x
  2. Step 2: Convert to fraction form
    136.62/188.61 = 109.08/x
  3. Step 3: Cross multiply
    136.62x = 188.61 × 109.08
  4. Step 4: Simplify right side
    136.62x = 20,573.58
  5. Step 5: Solve for x
    x = 20,573.58/136.62
  6. Step 6: Final answer
    x = 150.59

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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.