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Finding the Fourth Proportional to 28.81, 42.98 and 28.41

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Solution

The fourth proportional to 28.81, 42.98 and 28.41 is: 42.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.81 : 42.98 = 28.41 : x
  2. Step 2: Convert to fraction form
    28.81/42.98 = 28.41/x
  3. Step 3: Cross multiply
    28.81x = 42.98 × 28.41
  4. Step 4: Simplify right side
    28.81x = 1,221.06
  5. Step 5: Solve for x
    x = 1,221.06/28.81
  6. Step 6: Final answer
    x = 42.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.