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Finding the Fourth Proportional to 90.05, 134.99 and 32.23

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Solution

The fourth proportional to 90.05, 134.99 and 32.23 is: 48.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.05 : 134.99 = 32.23 : x
  2. Step 2: Convert to fraction form
    90.05/134.99 = 32.23/x
  3. Step 3: Cross multiply
    90.05x = 134.99 × 32.23
  4. Step 4: Simplify right side
    90.05x = 4,350.73
  5. Step 5: Solve for x
    x = 4,350.73/90.05
  6. Step 6: Final answer
    x = 48.31

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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.