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Finding the Fourth Proportional to 53.44, 80.32 and 24.96

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Solution

The fourth proportional to 53.44, 80.32 and 24.96 is: 37.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.44 : 80.32 = 24.96 : x
  2. Step 2: Convert to fraction form
    53.44/80.32 = 24.96/x
  3. Step 3: Cross multiply
    53.44x = 80.32 × 24.96
  4. Step 4: Simplify right side
    53.44x = 2,004.79
  5. Step 5: Solve for x
    x = 2,004.79/53.44
  6. Step 6: Final answer
    x = 37.51

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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.