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Finding the Fourth Proportional to 122.02, 183.15 and 74.02

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Solution

The fourth proportional to 122.02, 183.15 and 74.02 is: 111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.02 : 183.15 = 74.02 : x
  2. Step 2: Convert to fraction form
    122.02/183.15 = 74.02/x
  3. Step 3: Cross multiply
    122.02x = 183.15 × 74.02
  4. Step 4: Simplify right side
    122.02x = 13,556.76
  5. Step 5: Solve for x
    x = 13,556.76/122.02
  6. Step 6: Final answer
    x = 111.10

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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.