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Finding the Fourth Proportional to 137.51, 205.94 and 68.95

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Solution

The fourth proportional to 137.51, 205.94 and 68.95 is: 103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.51 : 205.94 = 68.95 : x
  2. Step 2: Convert to fraction form
    137.51/205.94 = 68.95/x
  3. Step 3: Cross multiply
    137.51x = 205.94 × 68.95
  4. Step 4: Simplify right side
    137.51x = 14,198.19
  5. Step 5: Solve for x
    x = 14,198.19/137.51
  6. Step 6: Final answer
    x = 103.25

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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.