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Finding the Fourth Proportional to 25.97, 35.82 and 18.20

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Solution

The fourth proportional to 25.97, 35.82 and 18.20 is: 25.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.97 : 35.82 = 18.20 : x
  2. Step 2: Convert to fraction form
    25.97/35.82 = 18.20/x
  3. Step 3: Cross multiply
    25.97x = 35.82 × 18.20
  4. Step 4: Simplify right side
    25.97x = 651.74
  5. Step 5: Solve for x
    x = 651.74/25.97
  6. Step 6: Final answer
    x = 25.10

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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.