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Finding the Fourth Proportional to 25.39, 35.00 and 16.16

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Solution

The fourth proportional to 25.39, 35.00 and 16.16 is: 22.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.39 : 35.00 = 16.16 : x
  2. Step 2: Convert to fraction form
    25.39/35.00 = 16.16/x
  3. Step 3: Cross multiply
    25.39x = 35.00 × 16.16
  4. Step 4: Simplify right side
    25.39x = 565.73
  5. Step 5: Solve for x
    x = 565.73/25.39
  6. Step 6: Final answer
    x = 22.29

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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.