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Finding the Fourth Proportional to 122.14, 183.14 and 49.02

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Solution

The fourth proportional to 122.14, 183.14 and 49.02 is: 73.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.14 : 183.14 = 49.02 : x
  2. Step 2: Convert to fraction form
    122.14/183.14 = 49.02/x
  3. Step 3: Cross multiply
    122.14x = 183.14 × 49.02
  4. Step 4: Simplify right side
    122.14x = 8,977.52
  5. Step 5: Solve for x
    x = 8,977.52/122.14
  6. Step 6: Final answer
    x = 73.50

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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.