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Finding the Fourth Proportional to 111.94, 168.09 and 90.34

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Solution

The fourth proportional to 111.94, 168.09 and 90.34 is: 135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.94 : 168.09 = 90.34 : x
  2. Step 2: Convert to fraction form
    111.94/168.09 = 90.34/x
  3. Step 3: Cross multiply
    111.94x = 168.09 × 90.34
  4. Step 4: Simplify right side
    111.94x = 15,185.25
  5. Step 5: Solve for x
    x = 15,185.25/111.94
  6. Step 6: Final answer
    x = 135.66

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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.