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Finding the Fourth Proportional to 138.24, 207 and 120.24

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Solution

The fourth proportional to 138.24, 207 and 120.24 is: 180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.24 : 207 = 120.24 : x
  2. Step 2: Convert to fraction form
    138.24/207 = 120.24/x
  3. Step 3: Cross multiply
    138.24x = 207 × 120.24
  4. Step 4: Simplify right side
    138.24x = 24,889.68
  5. Step 5: Solve for x
    x = 24,889.68/138.24
  6. Step 6: Final answer
    x = 180.05

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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.