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Finding the Fourth Proportional to 138.66, 191.42 and 107.50

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Solution

The fourth proportional to 138.66, 191.42 and 107.50 is: 148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.66 : 191.42 = 107.50 : x
  2. Step 2: Convert to fraction form
    138.66/191.42 = 107.50/x
  3. Step 3: Cross multiply
    138.66x = 191.42 × 107.50
  4. Step 4: Simplify right side
    138.66x = 20,578.64
  5. Step 5: Solve for x
    x = 20,578.64/138.66
  6. Step 6: Final answer
    x = 148.41

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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.