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Finding the Fourth Proportional to 15.84, 23.77 and 12.80

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Solution

The fourth proportional to 15.84, 23.77 and 12.80 is: 19.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.84 : 23.77 = 12.80 : x
  2. Step 2: Convert to fraction form
    15.84/23.77 = 12.80/x
  3. Step 3: Cross multiply
    15.84x = 23.77 × 12.80
  4. Step 4: Simplify right side
    15.84x = 304.26
  5. Step 5: Solve for x
    x = 304.26/15.84
  6. Step 6: Final answer
    x = 19.21

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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.