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Finding the Fourth Proportional to 138.03, 207.17 and 105.22

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Solution

The fourth proportional to 138.03, 207.17 and 105.22 is: 157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.03 : 207.17 = 105.22 : x
  2. Step 2: Convert to fraction form
    138.03/207.17 = 105.22/x
  3. Step 3: Cross multiply
    138.03x = 207.17 × 105.22
  4. Step 4: Simplify right side
    138.03x = 21,798.69
  5. Step 5: Solve for x
    x = 21,798.69/138.03
  6. Step 6: Final answer
    x = 157.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.