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Finding the Fourth Proportional to 34, 51 and 12.64

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Solution

The fourth proportional to 34, 51 and 12.64 is: 18.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34 : 51 = 12.64 : x
  2. Step 2: Convert to fraction form
    34/51 = 12.64/x
  3. Step 3: Cross multiply
    34x = 51 × 12.64
  4. Step 4: Simplify right side
    34x = 644.64
  5. Step 5: Solve for x
    x = 644.64/34
  6. Step 6: Final answer
    x = 18.96

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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.