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Finding the Fourth Proportional to 105.92, 159.68 and 96.12

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Solution

The fourth proportional to 105.92, 159.68 and 96.12 is: 144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 159.68 = 96.12 : x
  2. Step 2: Convert to fraction form
    105.92/159.68 = 96.12/x
  3. Step 3: Cross multiply
    105.92x = 159.68 × 96.12
  4. Step 4: Simplify right side
    105.92x = 15,347.96
  5. Step 5: Solve for x
    x = 15,347.96/105.92
  6. Step 6: Final answer
    x = 144.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.