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Finding the Fourth Proportional to 146.92, 203.02 and 105.61

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Solution

The fourth proportional to 146.92, 203.02 and 105.61 is: 145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.92 : 203.02 = 105.61 : x
  2. Step 2: Convert to fraction form
    146.92/203.02 = 105.61/x
  3. Step 3: Cross multiply
    146.92x = 203.02 × 105.61
  4. Step 4: Simplify right side
    146.92x = 21,440.94
  5. Step 5: Solve for x
    x = 21,440.94/146.92
  6. Step 6: Final answer
    x = 145.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.