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Finding the Fourth Proportional to 137.34, 205.74 and 83.34

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Solution

The fourth proportional to 137.34, 205.74 and 83.34 is: 124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.34 : 205.74 = 83.34 : x
  2. Step 2: Convert to fraction form
    137.34/205.74 = 83.34/x
  3. Step 3: Cross multiply
    137.34x = 205.74 × 83.34
  4. Step 4: Simplify right side
    137.34x = 17,146.37
  5. Step 5: Solve for x
    x = 17,146.37/137.34
  6. Step 6: Final answer
    x = 124.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.