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Finding the Fourth Proportional to 25.19, 34.74 and 19.05

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Solution

The fourth proportional to 25.19, 34.74 and 19.05 is: 26.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.19 : 34.74 = 19.05 : x
  2. Step 2: Convert to fraction form
    25.19/34.74 = 19.05/x
  3. Step 3: Cross multiply
    25.19x = 34.74 × 19.05
  4. Step 4: Simplify right side
    25.19x = 661.80
  5. Step 5: Solve for x
    x = 661.80/25.19
  6. Step 6: Final answer
    x = 26.28

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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.