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Finding the Fourth Proportional to 46.26, 69.35 and 30.20

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Solution

The fourth proportional to 46.26, 69.35 and 30.20 is: 45.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.26 : 69.35 = 30.20 : x
  2. Step 2: Convert to fraction form
    46.26/69.35 = 30.20/x
  3. Step 3: Cross multiply
    46.26x = 69.35 × 30.20
  4. Step 4: Simplify right side
    46.26x = 2,093.87
  5. Step 5: Solve for x
    x = 2,093.87/46.26
  6. Step 6: Final answer
    x = 45.26

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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.