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Finding the Fourth Proportional to 175.29, 241.89 and 97.66

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Solution

The fourth proportional to 175.29, 241.89 and 97.66 is: 134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.29 : 241.89 = 97.66 : x
  2. Step 2: Convert to fraction form
    175.29/241.89 = 97.66/x
  3. Step 3: Cross multiply
    175.29x = 241.89 × 97.66
  4. Step 4: Simplify right side
    175.29x = 23,622.98
  5. Step 5: Solve for x
    x = 23,622.98/175.29
  6. Step 6: Final answer
    x = 134.77

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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.