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Finding the Fourth Proportional to 138.39, 190.88 and 85.95

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Solution

The fourth proportional to 138.39, 190.88 and 85.95 is: 118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.39 : 190.88 = 85.95 : x
  2. Step 2: Convert to fraction form
    138.39/190.88 = 85.95/x
  3. Step 3: Cross multiply
    138.39x = 190.88 × 85.95
  4. Step 4: Simplify right side
    138.39x = 16,406.14
  5. Step 5: Solve for x
    x = 16,406.14/138.39
  6. Step 6: Final answer
    x = 118.55

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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.