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Finding the Fourth Proportional to 45.99, 69.07 and 23.21

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Solution

The fourth proportional to 45.99, 69.07 and 23.21 is: 34.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.99 : 69.07 = 23.21 : x
  2. Step 2: Convert to fraction form
    45.99/69.07 = 23.21/x
  3. Step 3: Cross multiply
    45.99x = 69.07 × 23.21
  4. Step 4: Simplify right side
    45.99x = 1,603.11
  5. Step 5: Solve for x
    x = 1,603.11/45.99
  6. Step 6: Final answer
    x = 34.86

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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.