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Finding the Fourth Proportional to 133.95, 199.95 and 123.12

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Solution

The fourth proportional to 133.95, 199.95 and 123.12 is: 183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.95 : 199.95 = 123.12 : x
  2. Step 2: Convert to fraction form
    133.95/199.95 = 123.12/x
  3. Step 3: Cross multiply
    133.95x = 199.95 × 123.12
  4. Step 4: Simplify right side
    133.95x = 24,617.84
  5. Step 5: Solve for x
    x = 24,617.84/133.95
  6. Step 6: Final answer
    x = 183.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.