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Finding the Fourth Proportional to 128.31, 192.19 and 116.43

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Solution

The fourth proportional to 128.31, 192.19 and 116.43 is: 174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.31 : 192.19 = 116.43 : x
  2. Step 2: Convert to fraction form
    128.31/192.19 = 116.43/x
  3. Step 3: Cross multiply
    128.31x = 192.19 × 116.43
  4. Step 4: Simplify right side
    128.31x = 22,376.68
  5. Step 5: Solve for x
    x = 22,376.68/128.31
  6. Step 6: Final answer
    x = 174.40

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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.