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Finding the Fourth Proportional to 30.81, 42.54 and 25.57

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Solution

The fourth proportional to 30.81, 42.54 and 25.57 is: 35.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.81 : 42.54 = 25.57 : x
  2. Step 2: Convert to fraction form
    30.81/42.54 = 25.57/x
  3. Step 3: Cross multiply
    30.81x = 42.54 × 25.57
  4. Step 4: Simplify right side
    30.81x = 1,087.41
  5. Step 5: Solve for x
    x = 1,087.41/30.81
  6. Step 6: Final answer
    x = 35.29

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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.