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Finding the Fourth Proportional to 133.48, 199.81 and 79.21

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Solution

The fourth proportional to 133.48, 199.81 and 79.21 is: 118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.48 : 199.81 = 79.21 : x
  2. Step 2: Convert to fraction form
    133.48/199.81 = 79.21/x
  3. Step 3: Cross multiply
    133.48x = 199.81 × 79.21
  4. Step 4: Simplify right side
    133.48x = 15,825.56
  5. Step 5: Solve for x
    x = 15,825.56/133.48
  6. Step 6: Final answer
    x = 118.57

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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.