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Finding the Fourth Proportional to 136.89, 205.13 and 85.46

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Solution

The fourth proportional to 136.89, 205.13 and 85.46 is: 128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.89 : 205.13 = 85.46 : x
  2. Step 2: Convert to fraction form
    136.89/205.13 = 85.46/x
  3. Step 3: Cross multiply
    136.89x = 205.13 × 85.46
  4. Step 4: Simplify right side
    136.89x = 17,529.60
  5. Step 5: Solve for x
    x = 17,529.60/136.89
  6. Step 6: Final answer
    x = 128.06

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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.