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Finding the Fourth Proportional to 28.92, 43.42 and 24.14

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Solution

The fourth proportional to 28.92, 43.42 and 24.14 is: 36.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.92 : 43.42 = 24.14 : x
  2. Step 2: Convert to fraction form
    28.92/43.42 = 24.14/x
  3. Step 3: Cross multiply
    28.92x = 43.42 × 24.14
  4. Step 4: Simplify right side
    28.92x = 1,048.16
  5. Step 5: Solve for x
    x = 1,048.16/28.92
  6. Step 6: Final answer
    x = 36.24

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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.