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Finding the Fourth Proportional to 199.09, 274.68 and 124.45

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Solution

The fourth proportional to 199.09, 274.68 and 124.45 is: 171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.09 : 274.68 = 124.45 : x
  2. Step 2: Convert to fraction form
    199.09/274.68 = 124.45/x
  3. Step 3: Cross multiply
    199.09x = 274.68 × 124.45
  4. Step 4: Simplify right side
    199.09x = 34,183.93
  5. Step 5: Solve for x
    x = 34,183.93/199.09
  6. Step 6: Final answer
    x = 171.70

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