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Finding the Fourth Proportional to 46.26, 69.28 and 31.75

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Solution

The fourth proportional to 46.26, 69.28 and 31.75 is: 47.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.26 : 69.28 = 31.75 : x
  2. Step 2: Convert to fraction form
    46.26/69.28 = 31.75/x
  3. Step 3: Cross multiply
    46.26x = 69.28 × 31.75
  4. Step 4: Simplify right side
    46.26x = 2,199.64
  5. Step 5: Solve for x
    x = 2,199.64/46.26
  6. Step 6: Final answer
    x = 47.55

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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.