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Finding the Fourth Proportional to 39.24, 54.09 and 32.32

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Solution

The fourth proportional to 39.24, 54.09 and 32.32 is: 44.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.24 : 54.09 = 32.32 : x
  2. Step 2: Convert to fraction form
    39.24/54.09 = 32.32/x
  3. Step 3: Cross multiply
    39.24x = 54.09 × 32.32
  4. Step 4: Simplify right side
    39.24x = 1,748.05
  5. Step 5: Solve for x
    x = 1,748.05/39.24
  6. Step 6: Final answer
    x = 44.55

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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.