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Finding the Fourth Proportional to 15.80, 21.78 and 12.56

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Solution

The fourth proportional to 15.80, 21.78 and 12.56 is: 17.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.80 : 21.78 = 12.56 : x
  2. Step 2: Convert to fraction form
    15.80/21.78 = 12.56/x
  3. Step 3: Cross multiply
    15.80x = 21.78 × 12.56
  4. Step 4: Simplify right side
    15.80x = 273.56
  5. Step 5: Solve for x
    x = 273.56/15.80
  6. Step 6: Final answer
    x = 17.31

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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.