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Finding the Fourth Proportional to 122.30, 183.65 and 121.35

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Solution

The fourth proportional to 122.30, 183.65 and 121.35 is: 182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.30 : 183.65 = 121.35 : x
  2. Step 2: Convert to fraction form
    122.30/183.65 = 121.35/x
  3. Step 3: Cross multiply
    122.30x = 183.65 × 121.35
  4. Step 4: Simplify right side
    122.30x = 22,285.93
  5. Step 5: Solve for x
    x = 22,285.93/122.30
  6. Step 6: Final answer
    x = 182.22

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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.