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Finding the Fourth Proportional to 122.36, 183.50 and 71

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Solution

The fourth proportional to 122.36, 183.50 and 71 is: 106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.36 : 183.50 = 71 : x
  2. Step 2: Convert to fraction form
    122.36/183.50 = 71/x
  3. Step 3: Cross multiply
    122.36x = 183.50 × 71
  4. Step 4: Simplify right side
    122.36x = 13,028.50
  5. Step 5: Solve for x
    x = 13,028.50/122.36
  6. Step 6: Final answer
    x = 106.48

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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.