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Finding the Fourth Proportional to 28.74, 42.91 and 24.48

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Solution

The fourth proportional to 28.74, 42.91 and 24.48 is: 36.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.74 : 42.91 = 24.48 : x
  2. Step 2: Convert to fraction form
    28.74/42.91 = 24.48/x
  3. Step 3: Cross multiply
    28.74x = 42.91 × 24.48
  4. Step 4: Simplify right side
    28.74x = 1,050.44
  5. Step 5: Solve for x
    x = 1,050.44/28.74
  6. Step 6: Final answer
    x = 36.55

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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.