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Finding the Fourth Proportional to 133.22, 183.59 and 106.79

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Solution

The fourth proportional to 133.22, 183.59 and 106.79 is: 147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.22 : 183.59 = 106.79 : x
  2. Step 2: Convert to fraction form
    133.22/183.59 = 106.79/x
  3. Step 3: Cross multiply
    133.22x = 183.59 × 106.79
  4. Step 4: Simplify right side
    133.22x = 19,604.12
  5. Step 5: Solve for x
    x = 19,604.12/133.22
  6. Step 6: Final answer
    x = 147.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.