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Finding the Fourth Proportional to 15.99, 23.99 and 10.20

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Solution

The fourth proportional to 15.99, 23.99 and 10.20 is: 15.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.99 : 23.99 = 10.20 : x
  2. Step 2: Convert to fraction form
    15.99/23.99 = 10.20/x
  3. Step 3: Cross multiply
    15.99x = 23.99 × 10.20
  4. Step 4: Simplify right side
    15.99x = 244.65
  5. Step 5: Solve for x
    x = 244.65/15.99
  6. Step 6: Final answer
    x = 15.30

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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.