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Finding the Fourth Proportional to 122.31, 182.59 and 121.28

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Solution

The fourth proportional to 122.31, 182.59 and 121.28 is: 181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.31 : 182.59 = 121.28 : x
  2. Step 2: Convert to fraction form
    122.31/182.59 = 121.28/x
  3. Step 3: Cross multiply
    122.31x = 182.59 × 121.28
  4. Step 4: Simplify right side
    122.31x = 22,143.30
  5. Step 5: Solve for x
    x = 22,143.30/122.31
  6. Step 6: Final answer
    x = 181.04

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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.