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Finding the Fourth Proportional to 138.90, 208.49 and 52.32

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Solution

The fourth proportional to 138.90, 208.49 and 52.32 is: 78.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.90 : 208.49 = 52.32 : x
  2. Step 2: Convert to fraction form
    138.90/208.49 = 52.32/x
  3. Step 3: Cross multiply
    138.90x = 208.49 × 52.32
  4. Step 4: Simplify right side
    138.90x = 10,907.94
  5. Step 5: Solve for x
    x = 10,907.94/138.90
  6. Step 6: Final answer
    x = 78.53

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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.