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Finding the Fourth Proportional to 122.09, 183.05 and 57.14

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Solution

The fourth proportional to 122.09, 183.05 and 57.14 is: 85.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.09 : 183.05 = 57.14 : x
  2. Step 2: Convert to fraction form
    122.09/183.05 = 57.14/x
  3. Step 3: Cross multiply
    122.09x = 183.05 × 57.14
  4. Step 4: Simplify right side
    122.09x = 10,458.28
  5. Step 5: Solve for x
    x = 10,458.28/122.09
  6. Step 6: Final answer
    x = 85.66

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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.