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Finding the Fourth Proportional to 136.47, 204.78 and 90.85

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Solution

The fourth proportional to 136.47, 204.78 and 90.85 is: 136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.47 : 204.78 = 90.85 : x
  2. Step 2: Convert to fraction form
    136.47/204.78 = 90.85/x
  3. Step 3: Cross multiply
    136.47x = 204.78 × 90.85
  4. Step 4: Simplify right side
    136.47x = 18,603.96
  5. Step 5: Solve for x
    x = 18,603.96/136.47
  6. Step 6: Final answer
    x = 136.33

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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.