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Finding the Fourth Proportional to 245.54, 368.06 and 83.09

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Solution

The fourth proportional to 245.54, 368.06 and 83.09 is: 124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.54 : 368.06 = 83.09 : x
  2. Step 2: Convert to fraction form
    245.54/368.06 = 83.09/x
  3. Step 3: Cross multiply
    245.54x = 368.06 × 83.09
  4. Step 4: Simplify right side
    245.54x = 30,579.85
  5. Step 5: Solve for x
    x = 30,579.85/245.54
  6. Step 6: Final answer
    x = 124.54

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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.