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Finding the Fourth Proportional to 25.42, 35.08 and 16.21

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Solution

The fourth proportional to 25.42, 35.08 and 16.21 is: 22.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.42 : 35.08 = 16.21 : x
  2. Step 2: Convert to fraction form
    25.42/35.08 = 16.21/x
  3. Step 3: Cross multiply
    25.42x = 35.08 × 16.21
  4. Step 4: Simplify right side
    25.42x = 568.65
  5. Step 5: Solve for x
    x = 568.65/25.42
  6. Step 6: Final answer
    x = 22.37

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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.