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Finding the Fourth Proportional to 134.27, 185.31 and 97.55

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Solution

The fourth proportional to 134.27, 185.31 and 97.55 is: 134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.27 : 185.31 = 97.55 : x
  2. Step 2: Convert to fraction form
    134.27/185.31 = 97.55/x
  3. Step 3: Cross multiply
    134.27x = 185.31 × 97.55
  4. Step 4: Simplify right side
    134.27x = 18,076.99
  5. Step 5: Solve for x
    x = 18,076.99/134.27
  6. Step 6: Final answer
    x = 134.63

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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.