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Finding the Fourth Proportional to 49.06, 67.73 and 46.56

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Solution

The fourth proportional to 49.06, 67.73 and 46.56 is: 64.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.06 : 67.73 = 46.56 : x
  2. Step 2: Convert to fraction form
    49.06/67.73 = 46.56/x
  3. Step 3: Cross multiply
    49.06x = 67.73 × 46.56
  4. Step 4: Simplify right side
    49.06x = 3,153.51
  5. Step 5: Solve for x
    x = 3,153.51/49.06
  6. Step 6: Final answer
    x = 64.28

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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.