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Finding the Fourth Proportional to 133.22, 183.73 and 100.10

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Solution

The fourth proportional to 133.22, 183.73 and 100.10 is: 138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.22 : 183.73 = 100.10 : x
  2. Step 2: Convert to fraction form
    133.22/183.73 = 100.10/x
  3. Step 3: Cross multiply
    133.22x = 183.73 × 100.10
  4. Step 4: Simplify right side
    133.22x = 18,391.37
  5. Step 5: Solve for x
    x = 18,391.37/133.22
  6. Step 6: Final answer
    x = 138.05

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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.