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Finding the Fourth Proportional to 138.83, 191.41 and 97.37

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Solution

The fourth proportional to 138.83, 191.41 and 97.37 is: 134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.83 : 191.41 = 97.37 : x
  2. Step 2: Convert to fraction form
    138.83/191.41 = 97.37/x
  3. Step 3: Cross multiply
    138.83x = 191.41 × 97.37
  4. Step 4: Simplify right side
    138.83x = 18,637.66
  5. Step 5: Solve for x
    x = 18,637.66/138.83
  6. Step 6: Final answer
    x = 134.25

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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.