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Finding the Fourth Proportional to 122.06, 182.90 and 49.80

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Solution

The fourth proportional to 122.06, 182.90 and 49.80 is: 74.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.06 : 182.90 = 49.80 : x
  2. Step 2: Convert to fraction form
    122.06/182.90 = 49.80/x
  3. Step 3: Cross multiply
    122.06x = 182.90 × 49.80
  4. Step 4: Simplify right side
    122.06x = 9,108.42
  5. Step 5: Solve for x
    x = 9,108.42/122.06
  6. Step 6: Final answer
    x = 74.62

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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.