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Finding the Fourth Proportional to 49.09, 67.70 and 35.36

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Solution

The fourth proportional to 49.09, 67.70 and 35.36 is: 48.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.09 : 67.70 = 35.36 : x
  2. Step 2: Convert to fraction form
    49.09/67.70 = 35.36/x
  3. Step 3: Cross multiply
    49.09x = 67.70 × 35.36
  4. Step 4: Simplify right side
    49.09x = 2,393.87
  5. Step 5: Solve for x
    x = 2,393.87/49.09
  6. Step 6: Final answer
    x = 48.77

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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.