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Finding the Fourth Proportional to 122.10, 183.04 and 49.91

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Solution

The fourth proportional to 122.10, 183.04 and 49.91 is: 74.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.10 : 183.04 = 49.91 : x
  2. Step 2: Convert to fraction form
    122.10/183.04 = 49.91/x
  3. Step 3: Cross multiply
    122.10x = 183.04 × 49.91
  4. Step 4: Simplify right side
    122.10x = 9,135.53
  5. Step 5: Solve for x
    x = 9,135.53/122.10
  6. Step 6: Final answer
    x = 74.82

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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.