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Finding the Fourth Proportional to 193.31, 289.75 and 106.59

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Solution

The fourth proportional to 193.31, 289.75 and 106.59 is: 159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.31 : 289.75 = 106.59 : x
  2. Step 2: Convert to fraction form
    193.31/289.75 = 106.59/x
  3. Step 3: Cross multiply
    193.31x = 289.75 × 106.59
  4. Step 4: Simplify right side
    193.31x = 30,884.45
  5. Step 5: Solve for x
    x = 30,884.45/193.31
  6. Step 6: Final answer
    x = 159.77

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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.