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Finding the Fourth Proportional to 128.09, 192.07 and 41.42

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Solution

The fourth proportional to 128.09, 192.07 and 41.42 is: 62.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.09 : 192.07 = 41.42 : x
  2. Step 2: Convert to fraction form
    128.09/192.07 = 41.42/x
  3. Step 3: Cross multiply
    128.09x = 192.07 × 41.42
  4. Step 4: Simplify right side
    128.09x = 7,954.48
  5. Step 5: Solve for x
    x = 7,954.48/128.09
  6. Step 6: Final answer
    x = 62.10

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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.