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Finding the Fourth Proportional to 154.74, 213.63 and 102.27

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Solution

The fourth proportional to 154.74, 213.63 and 102.27 is: 141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.74 : 213.63 = 102.27 : x
  2. Step 2: Convert to fraction form
    154.74/213.63 = 102.27/x
  3. Step 3: Cross multiply
    154.74x = 213.63 × 102.27
  4. Step 4: Simplify right side
    154.74x = 21,847.94
  5. Step 5: Solve for x
    x = 21,847.94/154.74
  6. Step 6: Final answer
    x = 141.19

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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.