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Finding the Fourth Proportional to 23, 34.51 and 13.24

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Solution

The fourth proportional to 23, 34.51 and 13.24 is: 19.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 34.51 = 13.24 : x
  2. Step 2: Convert to fraction form
    23/34.51 = 13.24/x
  3. Step 3: Cross multiply
    23x = 34.51 × 13.24
  4. Step 4: Simplify right side
    23x = 456.91
  5. Step 5: Solve for x
    x = 456.91/23
  6. Step 6: Final answer
    x = 19.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.