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Finding the Fourth Proportional to 138.24, 191.03 and 110.57

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Solution

The fourth proportional to 138.24, 191.03 and 110.57 is: 152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.24 : 191.03 = 110.57 : x
  2. Step 2: Convert to fraction form
    138.24/191.03 = 110.57/x
  3. Step 3: Cross multiply
    138.24x = 191.03 × 110.57
  4. Step 4: Simplify right side
    138.24x = 21,120.68
  5. Step 5: Solve for x
    x = 21,120.68/138.24
  6. Step 6: Final answer
    x = 152.78

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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.