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Finding the Fourth Proportional to 133.90, 183.95 and 109.27

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Solution

The fourth proportional to 133.90, 183.95 and 109.27 is: 150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.90 : 183.95 = 109.27 : x
  2. Step 2: Convert to fraction form
    133.90/183.95 = 109.27/x
  3. Step 3: Cross multiply
    133.90x = 183.95 × 109.27
  4. Step 4: Simplify right side
    133.90x = 20,100.22
  5. Step 5: Solve for x
    x = 20,100.22/133.90
  6. Step 6: Final answer
    x = 150.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.