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Finding the Fourth Proportional to 46.50, 69.78 and 22.50

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Solution

The fourth proportional to 46.50, 69.78 and 22.50 is: 33.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.50 : 69.78 = 22.50 : x
  2. Step 2: Convert to fraction form
    46.50/69.78 = 22.50/x
  3. Step 3: Cross multiply
    46.50x = 69.78 × 22.50
  4. Step 4: Simplify right side
    46.50x = 1,570.05
  5. Step 5: Solve for x
    x = 1,570.05/46.50
  6. Step 6: Final answer
    x = 33.76

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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.