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Finding the Fourth Proportional to 174.71, 241.09 and 104.85

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Solution

The fourth proportional to 174.71, 241.09 and 104.85 is: 144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.71 : 241.09 = 104.85 : x
  2. Step 2: Convert to fraction form
    174.71/241.09 = 104.85/x
  3. Step 3: Cross multiply
    174.71x = 241.09 × 104.85
  4. Step 4: Simplify right side
    174.71x = 25,278.29
  5. Step 5: Solve for x
    x = 25,278.29/174.71
  6. Step 6: Final answer
    x = 144.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.