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Finding the Fourth Proportional to 18.78, 25.75 and 18.57

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Solution

The fourth proportional to 18.78, 25.75 and 18.57 is: 25.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.78 : 25.75 = 18.57 : x
  2. Step 2: Convert to fraction form
    18.78/25.75 = 18.57/x
  3. Step 3: Cross multiply
    18.78x = 25.75 × 18.57
  4. Step 4: Simplify right side
    18.78x = 478.08
  5. Step 5: Solve for x
    x = 478.08/18.78
  6. Step 6: Final answer
    x = 25.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.