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Finding the Fourth Proportional to 12.80, 19.08 and 12.64

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Solution

The fourth proportional to 12.80, 19.08 and 12.64 is: 18.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.80 : 19.08 = 12.64 : x
  2. Step 2: Convert to fraction form
    12.80/19.08 = 12.64/x
  3. Step 3: Cross multiply
    12.80x = 19.08 × 12.64
  4. Step 4: Simplify right side
    12.80x = 241.17
  5. Step 5: Solve for x
    x = 241.17/12.80
  6. Step 6: Final answer
    x = 18.84

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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.