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Finding the Fourth Proportional to 49.53, 68.34 and 28.82

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Solution

The fourth proportional to 49.53, 68.34 and 28.82 is: 39.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.53 : 68.34 = 28.82 : x
  2. Step 2: Convert to fraction form
    49.53/68.34 = 28.82/x
  3. Step 3: Cross multiply
    49.53x = 68.34 × 28.82
  4. Step 4: Simplify right side
    49.53x = 1,969.22
  5. Step 5: Solve for x
    x = 1,969.22/49.53
  6. Step 6: Final answer
    x = 39.76

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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.