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Finding the Fourth Proportional to 30.22, 41.62 and 28.10

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Solution

The fourth proportional to 30.22, 41.62 and 28.10 is: 38.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.22 : 41.62 = 28.10 : x
  2. Step 2: Convert to fraction form
    30.22/41.62 = 28.10/x
  3. Step 3: Cross multiply
    30.22x = 41.62 × 28.10
  4. Step 4: Simplify right side
    30.22x = 1,169.47
  5. Step 5: Solve for x
    x = 1,169.47/30.22
  6. Step 6: Final answer
    x = 38.70

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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.