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Finding the Fourth Proportional to 49.45, 68.23 and 30.77

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Solution

The fourth proportional to 49.45, 68.23 and 30.77 is: 42.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.45 : 68.23 = 30.77 : x
  2. Step 2: Convert to fraction form
    49.45/68.23 = 30.77/x
  3. Step 3: Cross multiply
    49.45x = 68.23 × 30.77
  4. Step 4: Simplify right side
    49.45x = 2,099.41
  5. Step 5: Solve for x
    x = 2,099.41/49.45
  6. Step 6: Final answer
    x = 42.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.