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Finding the Fourth Proportional to 28.10, 38.84 and 24.28

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Solution

The fourth proportional to 28.10, 38.84 and 24.28 is: 33.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.10 : 38.84 = 24.28 : x
  2. Step 2: Convert to fraction form
    28.10/38.84 = 24.28/x
  3. Step 3: Cross multiply
    28.10x = 38.84 × 24.28
  4. Step 4: Simplify right side
    28.10x = 942.82
  5. Step 5: Solve for x
    x = 942.82/28.10
  6. Step 6: Final answer
    x = 33.55

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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.