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Finding the Fourth Proportional to 133.30, 199.61 and 106.30

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Solution

The fourth proportional to 133.30, 199.61 and 106.30 is: 159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.30 : 199.61 = 106.30 : x
  2. Step 2: Convert to fraction form
    133.30/199.61 = 106.30/x
  3. Step 3: Cross multiply
    133.30x = 199.61 × 106.30
  4. Step 4: Simplify right side
    133.30x = 21,218.54
  5. Step 5: Solve for x
    x = 21,218.54/133.30
  6. Step 6: Final answer
    x = 159.18

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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.