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Finding the Fourth Proportional to 193.14, 289.73 and 71.42

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Solution

The fourth proportional to 193.14, 289.73 and 71.42 is: 107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.14 : 289.73 = 71.42 : x
  2. Step 2: Convert to fraction form
    193.14/289.73 = 71.42/x
  3. Step 3: Cross multiply
    193.14x = 289.73 × 71.42
  4. Step 4: Simplify right side
    193.14x = 20,691.25
  5. Step 5: Solve for x
    x = 20,691.25/193.14
  6. Step 6: Final answer
    x = 107.13

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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.