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Finding the Fourth Proportional to 103.94, 155.33 and 83.55

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Solution

The fourth proportional to 103.94, 155.33 and 83.55 is: 124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.94 : 155.33 = 83.55 : x
  2. Step 2: Convert to fraction form
    103.94/155.33 = 83.55/x
  3. Step 3: Cross multiply
    103.94x = 155.33 × 83.55
  4. Step 4: Simplify right side
    103.94x = 12,977.82
  5. Step 5: Solve for x
    x = 12,977.82/103.94
  6. Step 6: Final answer
    x = 124.86

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