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Finding the Fourth Proportional to 192.90, 289.31 and 77.31

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Solution

The fourth proportional to 192.90, 289.31 and 77.31 is: 115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.90 : 289.31 = 77.31 : x
  2. Step 2: Convert to fraction form
    192.90/289.31 = 77.31/x
  3. Step 3: Cross multiply
    192.90x = 289.31 × 77.31
  4. Step 4: Simplify right side
    192.90x = 22,367.20
  5. Step 5: Solve for x
    x = 22,367.20/192.90
  6. Step 6: Final answer
    x = 115.95

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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.