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Finding the Fourth Proportional to 146.94, 220.47 and 105.92

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Solution

The fourth proportional to 146.94, 220.47 and 105.92 is: 158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.94 : 220.47 = 105.92 : x
  2. Step 2: Convert to fraction form
    146.94/220.47 = 105.92/x
  3. Step 3: Cross multiply
    146.94x = 220.47 × 105.92
  4. Step 4: Simplify right side
    146.94x = 23,351.08
  5. Step 5: Solve for x
    x = 23,351.08/146.94
  6. Step 6: Final answer
    x = 158.92

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Why These Related Problems?

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