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Finding the Fourth Proportional to 128.26, 192.50 and 89.49

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Solution

The fourth proportional to 128.26, 192.50 and 89.49 is: 134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.26 : 192.50 = 89.49 : x
  2. Step 2: Convert to fraction form
    128.26/192.50 = 89.49/x
  3. Step 3: Cross multiply
    128.26x = 192.50 × 89.49
  4. Step 4: Simplify right side
    128.26x = 17,227.10
  5. Step 5: Solve for x
    x = 17,227.10/128.26
  6. Step 6: Final answer
    x = 134.31

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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.