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Finding the Fourth Proportional to 193.06, 289.71 and 77.56

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Solution

The fourth proportional to 193.06, 289.71 and 77.56 is: 116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.06 : 289.71 = 77.56 : x
  2. Step 2: Convert to fraction form
    193.06/289.71 = 77.56/x
  3. Step 3: Cross multiply
    193.06x = 289.71 × 77.56
  4. Step 4: Simplify right side
    193.06x = 22,469.91
  5. Step 5: Solve for x
    x = 22,469.91/193.06
  6. Step 6: Final answer
    x = 116.39

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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.