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Finding the Fourth Proportional to 128.54, 192.56 and 63.46

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Solution

The fourth proportional to 128.54, 192.56 and 63.46 is: 95.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.54 : 192.56 = 63.46 : x
  2. Step 2: Convert to fraction form
    128.54/192.56 = 63.46/x
  3. Step 3: Cross multiply
    128.54x = 192.56 × 63.46
  4. Step 4: Simplify right side
    128.54x = 12,220.10
  5. Step 5: Solve for x
    x = 12,220.10/128.54
  6. Step 6: Final answer
    x = 95.07

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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.