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Finding the Fourth Proportional to 15.94, 23.81 and 13.52

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Solution

The fourth proportional to 15.94, 23.81 and 13.52 is: 20.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.94 : 23.81 = 13.52 : x
  2. Step 2: Convert to fraction form
    15.94/23.81 = 13.52/x
  3. Step 3: Cross multiply
    15.94x = 23.81 × 13.52
  4. Step 4: Simplify right side
    15.94x = 321.91
  5. Step 5: Solve for x
    x = 321.91/15.94
  6. Step 6: Final answer
    x = 20.20

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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.