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Finding the Fourth Proportional to 46.09, 69.13 and 22.03

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Solution

The fourth proportional to 46.09, 69.13 and 22.03 is: 33.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.09 : 69.13 = 22.03 : x
  2. Step 2: Convert to fraction form
    46.09/69.13 = 22.03/x
  3. Step 3: Cross multiply
    46.09x = 69.13 × 22.03
  4. Step 4: Simplify right side
    46.09x = 1,522.93
  5. Step 5: Solve for x
    x = 1,522.93/46.09
  6. Step 6: Final answer
    x = 33.04

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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.