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Finding the Fourth Proportional to 122.33, 183.48 and 71

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Solution

The fourth proportional to 122.33, 183.48 and 71 is: 106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.33 : 183.48 = 71 : x
  2. Step 2: Convert to fraction form
    122.33/183.48 = 71/x
  3. Step 3: Cross multiply
    122.33x = 183.48 × 71
  4. Step 4: Simplify right side
    122.33x = 13,027.08
  5. Step 5: Solve for x
    x = 13,027.08/122.33
  6. Step 6: Final answer
    x = 106.49

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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.