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Finding the Fourth Proportional to 154.48, 213.28 and 102.88

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Solution

The fourth proportional to 154.48, 213.28 and 102.88 is: 142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.48 : 213.28 = 102.88 : x
  2. Step 2: Convert to fraction form
    154.48/213.28 = 102.88/x
  3. Step 3: Cross multiply
    154.48x = 213.28 × 102.88
  4. Step 4: Simplify right side
    154.48x = 21,942.25
  5. Step 5: Solve for x
    x = 21,942.25/154.48
  6. Step 6: Final answer
    x = 142.04

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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.