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Finding the Fourth Proportional to 193.91, 290.70 and 72.11

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Solution

The fourth proportional to 193.91, 290.70 and 72.11 is: 108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.91 : 290.70 = 72.11 : x
  2. Step 2: Convert to fraction form
    193.91/290.70 = 72.11/x
  3. Step 3: Cross multiply
    193.91x = 290.70 × 72.11
  4. Step 4: Simplify right side
    193.91x = 20,960.92
  5. Step 5: Solve for x
    x = 20,960.92/193.91
  6. Step 6: Final answer
    x = 108.10

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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.