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Finding the Fourth Proportional to 174.79, 241.20 and 97.16

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Solution

The fourth proportional to 174.79, 241.20 and 97.16 is: 134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.79 : 241.20 = 97.16 : x
  2. Step 2: Convert to fraction form
    174.79/241.20 = 97.16/x
  3. Step 3: Cross multiply
    174.79x = 241.20 × 97.16
  4. Step 4: Simplify right side
    174.79x = 23,434.99
  5. Step 5: Solve for x
    x = 23,434.99/174.79
  6. Step 6: Final answer
    x = 134.08

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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.