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Finding the Fourth Proportional to 133.36, 199.57 and 116.42

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Solution

The fourth proportional to 133.36, 199.57 and 116.42 is: 174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.36 : 199.57 = 116.42 : x
  2. Step 2: Convert to fraction form
    133.36/199.57 = 116.42/x
  3. Step 3: Cross multiply
    133.36x = 199.57 × 116.42
  4. Step 4: Simplify right side
    133.36x = 23,233.94
  5. Step 5: Solve for x
    x = 23,233.94/133.36
  6. Step 6: Final answer
    x = 174.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.