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Finding the Fourth Proportional to 25.24, 34.77 and 19.09

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Solution

The fourth proportional to 25.24, 34.77 and 19.09 is: 26.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.24 : 34.77 = 19.09 : x
  2. Step 2: Convert to fraction form
    25.24/34.77 = 19.09/x
  3. Step 3: Cross multiply
    25.24x = 34.77 × 19.09
  4. Step 4: Simplify right side
    25.24x = 663.76
  5. Step 5: Solve for x
    x = 663.76/25.24
  6. Step 6: Final answer
    x = 26.30

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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.