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Finding the Fourth Proportional to 28.35, 42.44 and 24.71

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Solution

The fourth proportional to 28.35, 42.44 and 24.71 is: 36.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.35 : 42.44 = 24.71 : x
  2. Step 2: Convert to fraction form
    28.35/42.44 = 24.71/x
  3. Step 3: Cross multiply
    28.35x = 42.44 × 24.71
  4. Step 4: Simplify right side
    28.35x = 1,048.36
  5. Step 5: Solve for x
    x = 1,048.36/28.35
  6. Step 6: Final answer
    x = 36.98

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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.