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Finding the Fourth Proportional to 136.54, 204.62 and 78.68

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Solution

The fourth proportional to 136.54, 204.62 and 78.68 is: 117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.54 : 204.62 = 78.68 : x
  2. Step 2: Convert to fraction form
    136.54/204.62 = 78.68/x
  3. Step 3: Cross multiply
    136.54x = 204.62 × 78.68
  4. Step 4: Simplify right side
    136.54x = 16,098.38
  5. Step 5: Solve for x
    x = 16,098.38/136.54
  6. Step 6: Final answer
    x = 117.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.