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Finding the Fourth Proportional to 15.99, 23.84 and 14.85

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Solution

The fourth proportional to 15.99, 23.84 and 14.85 is: 22.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.99 : 23.84 = 14.85 : x
  2. Step 2: Convert to fraction form
    15.99/23.84 = 14.85/x
  3. Step 3: Cross multiply
    15.99x = 23.84 × 14.85
  4. Step 4: Simplify right side
    15.99x = 353.95
  5. Step 5: Solve for x
    x = 353.95/15.99
  6. Step 6: Final answer
    x = 22.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.