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Finding the Fourth Proportional to 146.81, 220.22 and 85.83

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Solution

The fourth proportional to 146.81, 220.22 and 85.83 is: 128.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.81 : 220.22 = 85.83 : x
  2. Step 2: Convert to fraction form
    146.81/220.22 = 85.83/x
  3. Step 3: Cross multiply
    146.81x = 220.22 × 85.83
  4. Step 4: Simplify right side
    146.81x = 18,901.05
  5. Step 5: Solve for x
    x = 18,901.05/146.81
  6. Step 6: Final answer
    x = 128.75

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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.