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Finding the Fourth Proportional to 15.23, 20.95 and 13.84

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Solution

The fourth proportional to 15.23, 20.95 and 13.84 is: 19.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.23 : 20.95 = 13.84 : x
  2. Step 2: Convert to fraction form
    15.23/20.95 = 13.84/x
  3. Step 3: Cross multiply
    15.23x = 20.95 × 13.84
  4. Step 4: Simplify right side
    15.23x = 289.86
  5. Step 5: Solve for x
    x = 289.86/15.23
  6. Step 6: Final answer
    x = 19.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.