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Finding the Fourth Proportional to 174.68, 241.06 and 97.06

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Solution

The fourth proportional to 174.68, 241.06 and 97.06 is: 133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.68 : 241.06 = 97.06 : x
  2. Step 2: Convert to fraction form
    174.68/241.06 = 97.06/x
  3. Step 3: Cross multiply
    174.68x = 241.06 × 97.06
  4. Step 4: Simplify right side
    174.68x = 23,397.28
  5. Step 5: Solve for x
    x = 23,397.28/174.68
  6. Step 6: Final answer
    x = 133.94

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Why These Related Problems?

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