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Finding the Fourth Proportional to 48.35, 67.07 and 46.33

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Solution

The fourth proportional to 48.35, 67.07 and 46.33 is: 64.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.35 : 67.07 = 46.33 : x
  2. Step 2: Convert to fraction form
    48.35/67.07 = 46.33/x
  3. Step 3: Cross multiply
    48.35x = 67.07 × 46.33
  4. Step 4: Simplify right side
    48.35x = 3,107.30
  5. Step 5: Solve for x
    x = 3,107.30/48.35
  6. Step 6: Final answer
    x = 64.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.