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Finding the Fourth Proportional to 106.96, 146.41 and 103.68

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Solution

The fourth proportional to 106.96, 146.41 and 103.68 is: 141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.96 : 146.41 = 103.68 : x
  2. Step 2: Convert to fraction form
    106.96/146.41 = 103.68/x
  3. Step 3: Cross multiply
    106.96x = 146.41 × 103.68
  4. Step 4: Simplify right side
    106.96x = 15,179.79
  5. Step 5: Solve for x
    x = 15,179.79/106.96
  6. Step 6: Final answer
    x = 141.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.