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Finding the Fourth Proportional to 133.08, 183.90 and 120.12

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Solution

The fourth proportional to 133.08, 183.90 and 120.12 is: 165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.08 : 183.90 = 120.12 : x
  2. Step 2: Convert to fraction form
    133.08/183.90 = 120.12/x
  3. Step 3: Cross multiply
    133.08x = 183.90 × 120.12
  4. Step 4: Simplify right side
    133.08x = 22,090.07
  5. Step 5: Solve for x
    x = 22,090.07/133.08
  6. Step 6: Final answer
    x = 165.99

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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.