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Finding the Fourth Proportional to 133.37, 199.68 and 68.23

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Solution

The fourth proportional to 133.37, 199.68 and 68.23 is: 102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.37 : 199.68 = 68.23 : x
  2. Step 2: Convert to fraction form
    133.37/199.68 = 68.23/x
  3. Step 3: Cross multiply
    133.37x = 199.68 × 68.23
  4. Step 4: Simplify right side
    133.37x = 13,623.42
  5. Step 5: Solve for x
    x = 13,623.42/133.37
  6. Step 6: Final answer
    x = 102.15

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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.