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Finding the Fourth Proportional to 38.72, 53.42 and 24.14

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Solution

The fourth proportional to 38.72, 53.42 and 24.14 is: 33.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.72 : 53.42 = 24.14 : x
  2. Step 2: Convert to fraction form
    38.72/53.42 = 24.14/x
  3. Step 3: Cross multiply
    38.72x = 53.42 × 24.14
  4. Step 4: Simplify right side
    38.72x = 1,289.56
  5. Step 5: Solve for x
    x = 1,289.56/38.72
  6. Step 6: Final answer
    x = 33.30

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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.