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Finding the Fourth Proportional to 133.44, 184.26 and 105.78

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Solution

The fourth proportional to 133.44, 184.26 and 105.78 is: 146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.44 : 184.26 = 105.78 : x
  2. Step 2: Convert to fraction form
    133.44/184.26 = 105.78/x
  3. Step 3: Cross multiply
    133.44x = 184.26 × 105.78
  4. Step 4: Simplify right side
    133.44x = 19,491.02
  5. Step 5: Solve for x
    x = 19,491.02/133.44
  6. Step 6: Final answer
    x = 146.07

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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.