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Finding the Fourth Proportional to 137.99, 205.83 and 116.46

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Solution

The fourth proportional to 137.99, 205.83 and 116.46 is: 173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.99 : 205.83 = 116.46 : x
  2. Step 2: Convert to fraction form
    137.99/205.83 = 116.46/x
  3. Step 3: Cross multiply
    137.99x = 205.83 × 116.46
  4. Step 4: Simplify right side
    137.99x = 23,970.96
  5. Step 5: Solve for x
    x = 23,970.96/137.99
  6. Step 6: Final answer
    x = 173.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.