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Finding the Fourth Proportional to 15.78, 23.79 and 13.12

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Solution

The fourth proportional to 15.78, 23.79 and 13.12 is: 19.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.78 : 23.79 = 13.12 : x
  2. Step 2: Convert to fraction form
    15.78/23.79 = 13.12/x
  3. Step 3: Cross multiply
    15.78x = 23.79 × 13.12
  4. Step 4: Simplify right side
    15.78x = 312.12
  5. Step 5: Solve for x
    x = 312.12/15.78
  6. Step 6: Final answer
    x = 19.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.