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Finding the Fourth Proportional to 49.23, 73.77 and 23.54

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Solution

The fourth proportional to 49.23, 73.77 and 23.54 is: 35.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.23 : 73.77 = 23.54 : x
  2. Step 2: Convert to fraction form
    49.23/73.77 = 23.54/x
  3. Step 3: Cross multiply
    49.23x = 73.77 × 23.54
  4. Step 4: Simplify right side
    49.23x = 1,736.18
  5. Step 5: Solve for x
    x = 1,736.18/49.23
  6. Step 6: Final answer
    x = 35.27

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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.