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Finding the Fourth Proportional to 136.69, 204.32 and 106.11

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Solution

The fourth proportional to 136.69, 204.32 and 106.11 is: 158.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.69 : 204.32 = 106.11 : x
  2. Step 2: Convert to fraction form
    136.69/204.32 = 106.11/x
  3. Step 3: Cross multiply
    136.69x = 204.32 × 106.11
  4. Step 4: Simplify right side
    136.69x = 21,680.66
  5. Step 5: Solve for x
    x = 21,680.66/136.69
  6. Step 6: Final answer
    x = 158.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.