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Finding the Fourth Proportional to 174.96, 241.56 and 123.12

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Solution

The fourth proportional to 174.96, 241.56 and 123.12 is: 169.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.96 : 241.56 = 123.12 : x
  2. Step 2: Convert to fraction form
    174.96/241.56 = 123.12/x
  3. Step 3: Cross multiply
    174.96x = 241.56 × 123.12
  4. Step 4: Simplify right side
    174.96x = 29,740.87
  5. Step 5: Solve for x
    x = 29,740.87/174.96
  6. Step 6: Final answer
    x = 169.99

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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.