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Finding the Fourth Proportional to 49.70, 68.13 and 48.49

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Solution

The fourth proportional to 49.70, 68.13 and 48.49 is: 66.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.70 : 68.13 = 48.49 : x
  2. Step 2: Convert to fraction form
    49.70/68.13 = 48.49/x
  3. Step 3: Cross multiply
    49.70x = 68.13 × 48.49
  4. Step 4: Simplify right side
    49.70x = 3,303.62
  5. Step 5: Solve for x
    x = 3,303.62/49.70
  6. Step 6: Final answer
    x = 66.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.