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Finding the Fourth Proportional to 46.37, 63.96 and 30.83

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Solution

The fourth proportional to 46.37, 63.96 and 30.83 is: 42.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.37 : 63.96 = 30.83 : x
  2. Step 2: Convert to fraction form
    46.37/63.96 = 30.83/x
  3. Step 3: Cross multiply
    46.37x = 63.96 × 30.83
  4. Step 4: Simplify right side
    46.37x = 1,971.57
  5. Step 5: Solve for x
    x = 1,971.57/46.37
  6. Step 6: Final answer
    x = 42.52

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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.