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Finding the Fourth Proportional to 137.94, 205.68 and 123.18

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Solution

The fourth proportional to 137.94, 205.68 and 123.18 is: 183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.94 : 205.68 = 123.18 : x
  2. Step 2: Convert to fraction form
    137.94/205.68 = 123.18/x
  3. Step 3: Cross multiply
    137.94x = 205.68 × 123.18
  4. Step 4: Simplify right side
    137.94x = 25,335.66
  5. Step 5: Solve for x
    x = 25,335.66/137.94
  6. Step 6: Final answer
    x = 183.67

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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.