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Finding the Fourth Proportional to 18.80, 25.77 and 18.34

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Solution

The fourth proportional to 18.80, 25.77 and 18.34 is: 25.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.80 : 25.77 = 18.34 : x
  2. Step 2: Convert to fraction form
    18.80/25.77 = 18.34/x
  3. Step 3: Cross multiply
    18.80x = 25.77 × 18.34
  4. Step 4: Simplify right side
    18.80x = 472.62
  5. Step 5: Solve for x
    x = 472.62/18.80
  6. Step 6: Final answer
    x = 25.14

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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.