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Finding the Fourth Proportional to 46.50, 69.74 and 32.94

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Solution

The fourth proportional to 46.50, 69.74 and 32.94 is: 49.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.50 : 69.74 = 32.94 : x
  2. Step 2: Convert to fraction form
    46.50/69.74 = 32.94/x
  3. Step 3: Cross multiply
    46.50x = 69.74 × 32.94
  4. Step 4: Simplify right side
    46.50x = 2,297.07
  5. Step 5: Solve for x
    x = 2,297.07/46.50
  6. Step 6: Final answer
    x = 49.40

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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.