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Finding the Fourth Proportional to 122.48, 183.74 and 35.81

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Solution

The fourth proportional to 122.48, 183.74 and 35.81 is: 53.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.48 : 183.74 = 35.81 : x
  2. Step 2: Convert to fraction form
    122.48/183.74 = 35.81/x
  3. Step 3: Cross multiply
    122.48x = 183.74 × 35.81
  4. Step 4: Simplify right side
    122.48x = 6,580.28
  5. Step 5: Solve for x
    x = 6,580.28/122.48
  6. Step 6: Final answer
    x = 53.73

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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.