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Finding the Fourth Proportional to 25.04, 34.54 and 16.41

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Solution

The fourth proportional to 25.04, 34.54 and 16.41 is: 22.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.04 : 34.54 = 16.41 : x
  2. Step 2: Convert to fraction form
    25.04/34.54 = 16.41/x
  3. Step 3: Cross multiply
    25.04x = 34.54 × 16.41
  4. Step 4: Simplify right side
    25.04x = 566.80
  5. Step 5: Solve for x
    x = 566.80/25.04
  6. Step 6: Final answer
    x = 22.64

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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.