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Finding the Fourth Proportional to 183.09, 274.80 and 85.71

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Solution

The fourth proportional to 183.09, 274.80 and 85.71 is: 128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.09 : 274.80 = 85.71 : x
  2. Step 2: Convert to fraction form
    183.09/274.80 = 85.71/x
  3. Step 3: Cross multiply
    183.09x = 274.80 × 85.71
  4. Step 4: Simplify right side
    183.09x = 23,553.11
  5. Step 5: Solve for x
    x = 23,553.11/183.09
  6. Step 6: Final answer
    x = 128.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.