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Finding the Fourth Proportional to 25.24, 34.86 and 22.36

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Solution

The fourth proportional to 25.24, 34.86 and 22.36 is: 30.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.24 : 34.86 = 22.36 : x
  2. Step 2: Convert to fraction form
    25.24/34.86 = 22.36/x
  3. Step 3: Cross multiply
    25.24x = 34.86 × 22.36
  4. Step 4: Simplify right side
    25.24x = 779.47
  5. Step 5: Solve for x
    x = 779.47/25.24
  6. Step 6: Final answer
    x = 30.88

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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.