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Finding the Fourth Proportional to 46.67, 63.98 and 45.96

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Solution

The fourth proportional to 46.67, 63.98 and 45.96 is: 63.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.67 : 63.98 = 45.96 : x
  2. Step 2: Convert to fraction form
    46.67/63.98 = 45.96/x
  3. Step 3: Cross multiply
    46.67x = 63.98 × 45.96
  4. Step 4: Simplify right side
    46.67x = 2,940.09
  5. Step 5: Solve for x
    x = 2,940.09/46.67
  6. Step 6: Final answer
    x = 63.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.