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Finding the Fourth Proportional to 133.30, 183.96 and 75.09

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Solution

The fourth proportional to 133.30, 183.96 and 75.09 is: 103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.30 : 183.96 = 75.09 : x
  2. Step 2: Convert to fraction form
    133.30/183.96 = 75.09/x
  3. Step 3: Cross multiply
    133.30x = 183.96 × 75.09
  4. Step 4: Simplify right side
    133.30x = 13,812.64
  5. Step 5: Solve for x
    x = 13,812.64/133.30
  6. Step 6: Final answer
    x = 103.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.