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Finding the Fourth Proportional to 46.75, 70.12 and 16.31

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Solution

The fourth proportional to 46.75, 70.12 and 16.31 is: 24.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.75 : 70.12 = 16.31 : x
  2. Step 2: Convert to fraction form
    46.75/70.12 = 16.31/x
  3. Step 3: Cross multiply
    46.75x = 70.12 × 16.31
  4. Step 4: Simplify right side
    46.75x = 1,143.56
  5. Step 5: Solve for x
    x = 1,143.56/46.75
  6. Step 6: Final answer
    x = 24.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.