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Finding the Fourth Proportional to 107.89, 149.92 and 106.78

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Solution

The fourth proportional to 107.89, 149.92 and 106.78 is: 148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.89 : 149.92 = 106.78 : x
  2. Step 2: Convert to fraction form
    107.89/149.92 = 106.78/x
  3. Step 3: Cross multiply
    107.89x = 149.92 × 106.78
  4. Step 4: Simplify right side
    107.89x = 16,008.72
  5. Step 5: Solve for x
    x = 16,008.72/107.89
  6. Step 6: Final answer
    x = 148.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.