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Finding the Fourth Proportional to 122.63, 183.82 and 49.48

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Solution

The fourth proportional to 122.63, 183.82 and 49.48 is: 74.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.63 : 183.82 = 49.48 : x
  2. Step 2: Convert to fraction form
    122.63/183.82 = 49.48/x
  3. Step 3: Cross multiply
    122.63x = 183.82 × 49.48
  4. Step 4: Simplify right side
    122.63x = 9,095.41
  5. Step 5: Solve for x
    x = 9,095.41/122.63
  6. Step 6: Final answer
    x = 74.17

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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.