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Finding the Fourth Proportional to 16.09, 23.99 and 15.40

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Solution

The fourth proportional to 16.09, 23.99 and 15.40 is: 22.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.09 : 23.99 = 15.40 : x
  2. Step 2: Convert to fraction form
    16.09/23.99 = 15.40/x
  3. Step 3: Cross multiply
    16.09x = 23.99 × 15.40
  4. Step 4: Simplify right side
    16.09x = 369.45
  5. Step 5: Solve for x
    x = 369.45/16.09
  6. Step 6: Final answer
    x = 22.96

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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.