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Finding the Fourth Proportional to 138.37, 190.91 and 85.83

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Solution

The fourth proportional to 138.37, 190.91 and 85.83 is: 118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.37 : 190.91 = 85.83 : x
  2. Step 2: Convert to fraction form
    138.37/190.91 = 85.83/x
  3. Step 3: Cross multiply
    138.37x = 190.91 × 85.83
  4. Step 4: Simplify right side
    138.37x = 16,386.02
  5. Step 5: Solve for x
    x = 16,386.02/138.37
  6. Step 6: Final answer
    x = 118.42

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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.