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Finding the Fourth Proportional to 90.09, 134.94 and 75.47

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Solution

The fourth proportional to 90.09, 134.94 and 75.47 is: 113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.09 : 134.94 = 75.47 : x
  2. Step 2: Convert to fraction form
    90.09/134.94 = 75.47/x
  3. Step 3: Cross multiply
    90.09x = 134.94 × 75.47
  4. Step 4: Simplify right side
    90.09x = 10,183.92
  5. Step 5: Solve for x
    x = 10,183.92/90.09
  6. Step 6: Final answer
    x = 113.04

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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.