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Finding the Fourth Proportional to 138.48, 190.85 and 110.73

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Solution

The fourth proportional to 138.48, 190.85 and 110.73 is: 152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.48 : 190.85 = 110.73 : x
  2. Step 2: Convert to fraction form
    138.48/190.85 = 110.73/x
  3. Step 3: Cross multiply
    138.48x = 190.85 × 110.73
  4. Step 4: Simplify right side
    138.48x = 21,132.27
  5. Step 5: Solve for x
    x = 21,132.27/138.48
  6. Step 6: Final answer
    x = 152.60

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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.