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Finding the Fourth Proportional to 193.24, 290.01 and 71.54

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Solution

The fourth proportional to 193.24, 290.01 and 71.54 is: 107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.24 : 290.01 = 71.54 : x
  2. Step 2: Convert to fraction form
    193.24/290.01 = 71.54/x
  3. Step 3: Cross multiply
    193.24x = 290.01 × 71.54
  4. Step 4: Simplify right side
    193.24x = 20,745.51
  5. Step 5: Solve for x
    x = 20,745.51/193.24
  6. Step 6: Final answer
    x = 107.36

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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.