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Finding the Fourth Proportional to 103.45, 155.07 and 55.21

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Solution

The fourth proportional to 103.45, 155.07 and 55.21 is: 82.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.45 : 155.07 = 55.21 : x
  2. Step 2: Convert to fraction form
    103.45/155.07 = 55.21/x
  3. Step 3: Cross multiply
    103.45x = 155.07 × 55.21
  4. Step 4: Simplify right side
    103.45x = 8,561.41
  5. Step 5: Solve for x
    x = 8,561.41/103.45
  6. Step 6: Final answer
    x = 82.76

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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.