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Finding the Fourth Proportional to 30.28, 41.85 and 25.42

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Solution

The fourth proportional to 30.28, 41.85 and 25.42 is: 35.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.28 : 41.85 = 25.42 : x
  2. Step 2: Convert to fraction form
    30.28/41.85 = 25.42/x
  3. Step 3: Cross multiply
    30.28x = 41.85 × 25.42
  4. Step 4: Simplify right side
    30.28x = 1,063.83
  5. Step 5: Solve for x
    x = 1,063.83/30.28
  6. Step 6: Final answer
    x = 35.13

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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.