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Finding the Fourth Proportional to 138.52, 190.72 and 105.76

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Solution

The fourth proportional to 138.52, 190.72 and 105.76 is: 145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.52 : 190.72 = 105.76 : x
  2. Step 2: Convert to fraction form
    138.52/190.72 = 105.76/x
  3. Step 3: Cross multiply
    138.52x = 190.72 × 105.76
  4. Step 4: Simplify right side
    138.52x = 20,170.55
  5. Step 5: Solve for x
    x = 20,170.55/138.52
  6. Step 6: Final answer
    x = 145.61

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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.