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Finding the Fourth Proportional to 25.63, 35.30 and 22.19

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Solution

The fourth proportional to 25.63, 35.30 and 22.19 is: 30.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.63 : 35.30 = 22.19 : x
  2. Step 2: Convert to fraction form
    25.63/35.30 = 22.19/x
  3. Step 3: Cross multiply
    25.63x = 35.30 × 22.19
  4. Step 4: Simplify right side
    25.63x = 783.31
  5. Step 5: Solve for x
    x = 783.31/25.63
  6. Step 6: Final answer
    x = 30.56

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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.