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Finding the Fourth Proportional to 138.76, 190.95 and 105.95

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Solution

The fourth proportional to 138.76, 190.95 and 105.95 is: 145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.76 : 190.95 = 105.95 : x
  2. Step 2: Convert to fraction form
    138.76/190.95 = 105.95/x
  3. Step 3: Cross multiply
    138.76x = 190.95 × 105.95
  4. Step 4: Simplify right side
    138.76x = 20,231.15
  5. Step 5: Solve for x
    x = 20,231.15/138.76
  6. Step 6: Final answer
    x = 145.80

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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.