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Finding the Fourth Proportional to 154.57, 213.20 and 102.12

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Solution

The fourth proportional to 154.57, 213.20 and 102.12 is: 140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.57 : 213.20 = 102.12 : x
  2. Step 2: Convert to fraction form
    154.57/213.20 = 102.12/x
  3. Step 3: Cross multiply
    154.57x = 213.20 × 102.12
  4. Step 4: Simplify right side
    154.57x = 21,771.98
  5. Step 5: Solve for x
    x = 21,771.98/154.57
  6. Step 6: Final answer
    x = 140.86

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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.