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Finding the Fourth Proportional to 128.46, 192.91 and 98.23

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Solution

The fourth proportional to 128.46, 192.91 and 98.23 is: 147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.46 : 192.91 = 98.23 : x
  2. Step 2: Convert to fraction form
    128.46/192.91 = 98.23/x
  3. Step 3: Cross multiply
    128.46x = 192.91 × 98.23
  4. Step 4: Simplify right side
    128.46x = 18,949.55
  5. Step 5: Solve for x
    x = 18,949.55/128.46
  6. Step 6: Final answer
    x = 147.51

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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.