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Finding the Fourth Proportional to 46.69, 70.04 and 22.63

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Solution

The fourth proportional to 46.69, 70.04 and 22.63 is: 33.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.69 : 70.04 = 22.63 : x
  2. Step 2: Convert to fraction form
    46.69/70.04 = 22.63/x
  3. Step 3: Cross multiply
    46.69x = 70.04 × 22.63
  4. Step 4: Simplify right side
    46.69x = 1,584.66
  5. Step 5: Solve for x
    x = 1,584.66/46.69
  6. Step 6: Final answer
    x = 33.94

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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.