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Finding the Fourth Proportional to 193.47, 290.10 and 71.69

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Solution

The fourth proportional to 193.47, 290.10 and 71.69 is: 107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.47 : 290.10 = 71.69 : x
  2. Step 2: Convert to fraction form
    193.47/290.10 = 71.69/x
  3. Step 3: Cross multiply
    193.47x = 290.10 × 71.69
  4. Step 4: Simplify right side
    193.47x = 20,795.68
  5. Step 5: Solve for x
    x = 20,795.68/193.47
  6. Step 6: Final answer
    x = 107.49

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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.