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Finding the Fourth Proportional to 133.24, 199.50 and 111.40

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Solution

The fourth proportional to 133.24, 199.50 and 111.40 is: 166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.24 : 199.50 = 111.40 : x
  2. Step 2: Convert to fraction form
    133.24/199.50 = 111.40/x
  3. Step 3: Cross multiply
    133.24x = 199.50 × 111.40
  4. Step 4: Simplify right side
    133.24x = 22,224.30
  5. Step 5: Solve for x
    x = 22,224.30/133.24
  6. Step 6: Final answer
    x = 166.80

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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.