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Finding the Fourth Proportional to 193.54, 290.34 and 71.89

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Solution

The fourth proportional to 193.54, 290.34 and 71.89 is: 107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.54 : 290.34 = 71.89 : x
  2. Step 2: Convert to fraction form
    193.54/290.34 = 71.89/x
  3. Step 3: Cross multiply
    193.54x = 290.34 × 71.89
  4. Step 4: Simplify right side
    193.54x = 20,872.54
  5. Step 5: Solve for x
    x = 20,872.54/193.54
  6. Step 6: Final answer
    x = 107.85

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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.