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Finding the Fourth Proportional to 103.56, 155.20 and 90.68

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Solution

The fourth proportional to 103.56, 155.20 and 90.68 is: 135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.56 : 155.20 = 90.68 : x
  2. Step 2: Convert to fraction form
    103.56/155.20 = 90.68/x
  3. Step 3: Cross multiply
    103.56x = 155.20 × 90.68
  4. Step 4: Simplify right side
    103.56x = 14,073.54
  5. Step 5: Solve for x
    x = 14,073.54/103.56
  6. Step 6: Final answer
    x = 135.90

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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.