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Finding the Fourth Proportional to 39.52, 54.53 and 24.96

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Solution

The fourth proportional to 39.52, 54.53 and 24.96 is: 34.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.52 : 54.53 = 24.96 : x
  2. Step 2: Convert to fraction form
    39.52/54.53 = 24.96/x
  3. Step 3: Cross multiply
    39.52x = 54.53 × 24.96
  4. Step 4: Simplify right side
    39.52x = 1,361.24
  5. Step 5: Solve for x
    x = 1,361.24/39.52
  6. Step 6: Final answer
    x = 34.44

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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.