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Finding the Fourth Proportional to 128.43, 193.05 and 80.64

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Solution

The fourth proportional to 128.43, 193.05 and 80.64 is: 121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.43 : 193.05 = 80.64 : x
  2. Step 2: Convert to fraction form
    128.43/193.05 = 80.64/x
  3. Step 3: Cross multiply
    128.43x = 193.05 × 80.64
  4. Step 4: Simplify right side
    128.43x = 15,567.55
  5. Step 5: Solve for x
    x = 15,567.55/128.43
  6. Step 6: Final answer
    x = 121.21

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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.