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Finding the Fourth Proportional to 128.23, 192.38 and 102.78

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Solution

The fourth proportional to 128.23, 192.38 and 102.78 is: 154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.23 : 192.38 = 102.78 : x
  2. Step 2: Convert to fraction form
    128.23/192.38 = 102.78/x
  3. Step 3: Cross multiply
    128.23x = 192.38 × 102.78
  4. Step 4: Simplify right side
    128.23x = 19,772.30
  5. Step 5: Solve for x
    x = 19,772.30/128.23
  6. Step 6: Final answer
    x = 154.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.