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Finding the Fourth Proportional to 46.73, 69.71 and 46.22

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Solution

The fourth proportional to 46.73, 69.71 and 46.22 is: 68.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.73 : 69.71 = 46.22 : x
  2. Step 2: Convert to fraction form
    46.73/69.71 = 46.22/x
  3. Step 3: Cross multiply
    46.73x = 69.71 × 46.22
  4. Step 4: Simplify right side
    46.73x = 3,222.07
  5. Step 5: Solve for x
    x = 3,222.07/46.73
  6. Step 6: Final answer
    x = 68.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.