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Finding the Fourth Proportional to 137.83, 207.17 and 92.47

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Solution

The fourth proportional to 137.83, 207.17 and 92.47 is: 138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.83 : 207.17 = 92.47 : x
  2. Step 2: Convert to fraction form
    137.83/207.17 = 92.47/x
  3. Step 3: Cross multiply
    137.83x = 207.17 × 92.47
  4. Step 4: Simplify right side
    137.83x = 19,157.15
  5. Step 5: Solve for x
    x = 19,157.15/137.83
  6. Step 6: Final answer
    x = 138.99

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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.