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Finding the Fourth Proportional to 138.82, 208.23 and 52.15

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Solution

The fourth proportional to 138.82, 208.23 and 52.15 is: 78.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.82 : 208.23 = 52.15 : x
  2. Step 2: Convert to fraction form
    138.82/208.23 = 52.15/x
  3. Step 3: Cross multiply
    138.82x = 208.23 × 52.15
  4. Step 4: Simplify right side
    138.82x = 10,858.48
  5. Step 5: Solve for x
    x = 10,858.48/138.82
  6. Step 6: Final answer
    x = 78.22

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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.