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Finding the Fourth Proportional to 174.20, 261.29 and 101.09

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Solution

The fourth proportional to 174.20, 261.29 and 101.09 is: 151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.20 : 261.29 = 101.09 : x
  2. Step 2: Convert to fraction form
    174.20/261.29 = 101.09/x
  3. Step 3: Cross multiply
    174.20x = 261.29 × 101.09
  4. Step 4: Simplify right side
    174.20x = 26,413.30
  5. Step 5: Solve for x
    x = 26,413.30/174.20
  6. Step 6: Final answer
    x = 151.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.