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Finding the Fourth Proportional to 138.14, 190.77 and 110.72

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Solution

The fourth proportional to 138.14, 190.77 and 110.72 is: 152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.14 : 190.77 = 110.72 : x
  2. Step 2: Convert to fraction form
    138.14/190.77 = 110.72/x
  3. Step 3: Cross multiply
    138.14x = 190.77 × 110.72
  4. Step 4: Simplify right side
    138.14x = 21,122.05
  5. Step 5: Solve for x
    x = 21,122.05/138.14
  6. Step 6: Final answer
    x = 152.90

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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.