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Finding the Fourth Proportional to 49.21, 67.77 and 34.63

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Solution

The fourth proportional to 49.21, 67.77 and 34.63 is: 47.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.21 : 67.77 = 34.63 : x
  2. Step 2: Convert to fraction form
    49.21/67.77 = 34.63/x
  3. Step 3: Cross multiply
    49.21x = 67.77 × 34.63
  4. Step 4: Simplify right side
    49.21x = 2,346.71
  5. Step 5: Solve for x
    x = 2,346.71/49.21
  6. Step 6: Final answer
    x = 47.69

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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.