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Finding the Fourth Proportional to 133.56, 199.43 and 106.20

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Solution

The fourth proportional to 133.56, 199.43 and 106.20 is: 158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.56 : 199.43 = 106.20 : x
  2. Step 2: Convert to fraction form
    133.56/199.43 = 106.20/x
  3. Step 3: Cross multiply
    133.56x = 199.43 × 106.20
  4. Step 4: Simplify right side
    133.56x = 21,178.94
  5. Step 5: Solve for x
    x = 21,178.94/133.56
  6. Step 6: Final answer
    x = 158.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.