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Finding the Fourth Proportional to 133.08, 199.31 and 106.05

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Solution

The fourth proportional to 133.08, 199.31 and 106.05 is: 158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.08 : 199.31 = 106.05 : x
  2. Step 2: Convert to fraction form
    133.08/199.31 = 106.05/x
  3. Step 3: Cross multiply
    133.08x = 199.31 × 106.05
  4. Step 4: Simplify right side
    133.08x = 21,136.30
  5. Step 5: Solve for x
    x = 21,136.30/133.08
  6. Step 6: Final answer
    x = 158.82

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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.