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Finding the Fourth Proportional to 17.20, 23.76 and 14

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Solution

The fourth proportional to 17.20, 23.76 and 14 is: 19.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.20 : 23.76 = 14 : x
  2. Step 2: Convert to fraction form
    17.20/23.76 = 14/x
  3. Step 3: Cross multiply
    17.20x = 23.76 × 14
  4. Step 4: Simplify right side
    17.20x = 332.64
  5. Step 5: Solve for x
    x = 332.64/17.20
  6. Step 6: Final answer
    x = 19.34

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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.