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Finding the Fourth Proportional to 25.98, 35.82 and 16.14

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Solution

The fourth proportional to 25.98, 35.82 and 16.14 is: 22.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.98 : 35.82 = 16.14 : x
  2. Step 2: Convert to fraction form
    25.98/35.82 = 16.14/x
  3. Step 3: Cross multiply
    25.98x = 35.82 × 16.14
  4. Step 4: Simplify right side
    25.98x = 578.13
  5. Step 5: Solve for x
    x = 578.13/25.98
  6. Step 6: Final answer
    x = 22.25

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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.