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Finding the Fourth Proportional to 193.71, 290.59 and 71.94

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Solution

The fourth proportional to 193.71, 290.59 and 71.94 is: 107.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.71 : 290.59 = 71.94 : x
  2. Step 2: Convert to fraction form
    193.71/290.59 = 71.94/x
  3. Step 3: Cross multiply
    193.71x = 290.59 × 71.94
  4. Step 4: Simplify right side
    193.71x = 20,905.95
  5. Step 5: Solve for x
    x = 20,905.95/193.71
  6. Step 6: Final answer
    x = 107.92

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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.