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Finding the Fourth Proportional to 137.09, 205.84 and 116.79

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Solution

The fourth proportional to 137.09, 205.84 and 116.79 is: 175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.09 : 205.84 = 116.79 : x
  2. Step 2: Convert to fraction form
    137.09/205.84 = 116.79/x
  3. Step 3: Cross multiply
    137.09x = 205.84 × 116.79
  4. Step 4: Simplify right side
    137.09x = 24,040.59
  5. Step 5: Solve for x
    x = 24,040.59/137.09
  6. Step 6: Final answer
    x = 175.36

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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.