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Finding the Fourth Proportional to 28.16, 42.20 and 25.46

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Solution

The fourth proportional to 28.16, 42.20 and 25.46 is: 38.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.16 : 42.20 = 25.46 : x
  2. Step 2: Convert to fraction form
    28.16/42.20 = 25.46/x
  3. Step 3: Cross multiply
    28.16x = 42.20 × 25.46
  4. Step 4: Simplify right side
    28.16x = 1,074.28
  5. Step 5: Solve for x
    x = 1,074.28/28.16
  6. Step 6: Final answer
    x = 38.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.