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Finding the Fourth Proportional to 133.56, 200.20 and 72.67

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Solution

The fourth proportional to 133.56, 200.20 and 72.67 is: 108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.56 : 200.20 = 72.67 : x
  2. Step 2: Convert to fraction form
    133.56/200.20 = 72.67/x
  3. Step 3: Cross multiply
    133.56x = 200.20 × 72.67
  4. Step 4: Simplify right side
    133.56x = 14,548.17
  5. Step 5: Solve for x
    x = 14,548.17/133.56
  6. Step 6: Final answer
    x = 108.93

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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.