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Finding the Fourth Proportional to 103.84, 155.44 and 82.24

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Solution

The fourth proportional to 103.84, 155.44 and 82.24 is: 123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.84 : 155.44 = 82.24 : x
  2. Step 2: Convert to fraction form
    103.84/155.44 = 82.24/x
  3. Step 3: Cross multiply
    103.84x = 155.44 × 82.24
  4. Step 4: Simplify right side
    103.84x = 12,783.39
  5. Step 5: Solve for x
    x = 12,783.39/103.84
  6. Step 6: Final answer
    x = 123.11

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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.