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Finding the Fourth Proportional to 46.38, 69.42 and 29.22

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Solution

The fourth proportional to 46.38, 69.42 and 29.22 is: 43.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.38 : 69.42 = 29.22 : x
  2. Step 2: Convert to fraction form
    46.38/69.42 = 29.22/x
  3. Step 3: Cross multiply
    46.38x = 69.42 × 29.22
  4. Step 4: Simplify right side
    46.38x = 2,028.45
  5. Step 5: Solve for x
    x = 2,028.45/46.38
  6. Step 6: Final answer
    x = 43.74

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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.