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Finding the Fourth Proportional to 175.18, 241.77 and 97.57

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Solution

The fourth proportional to 175.18, 241.77 and 97.57 is: 134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.18 : 241.77 = 97.57 : x
  2. Step 2: Convert to fraction form
    175.18/241.77 = 97.57/x
  3. Step 3: Cross multiply
    175.18x = 241.77 × 97.57
  4. Step 4: Simplify right side
    175.18x = 23,589.50
  5. Step 5: Solve for x
    x = 23,589.50/175.18
  6. Step 6: Final answer
    x = 134.66

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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.