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Finding the Fourth Proportional to 154.50, 213.09 and 107.87

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Solution

The fourth proportional to 154.50, 213.09 and 107.87 is: 148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.50 : 213.09 = 107.87 : x
  2. Step 2: Convert to fraction form
    154.50/213.09 = 107.87/x
  3. Step 3: Cross multiply
    154.50x = 213.09 × 107.87
  4. Step 4: Simplify right side
    154.50x = 22,986.02
  5. Step 5: Solve for x
    x = 22,986.02/154.50
  6. Step 6: Final answer
    x = 148.78

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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.