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Finding the Fourth Proportional to 45.99, 69.15 and 30.06

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Solution

The fourth proportional to 45.99, 69.15 and 30.06 is: 45.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.99 : 69.15 = 30.06 : x
  2. Step 2: Convert to fraction form
    45.99/69.15 = 30.06/x
  3. Step 3: Cross multiply
    45.99x = 69.15 × 30.06
  4. Step 4: Simplify right side
    45.99x = 2,078.65
  5. Step 5: Solve for x
    x = 2,078.65/45.99
  6. Step 6: Final answer
    x = 45.20

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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.