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Finding the Fourth Proportional to 169.86, 254.55 and 97.57

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Solution

The fourth proportional to 169.86, 254.55 and 97.57 is: 146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.86 : 254.55 = 97.57 : x
  2. Step 2: Convert to fraction form
    169.86/254.55 = 97.57/x
  3. Step 3: Cross multiply
    169.86x = 254.55 × 97.57
  4. Step 4: Simplify right side
    169.86x = 24,836.44
  5. Step 5: Solve for x
    x = 24,836.44/169.86
  6. Step 6: Final answer
    x = 146.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.