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Finding the Fourth Proportional to 39.12, 53.76 and 32.64

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Solution

The fourth proportional to 39.12, 53.76 and 32.64 is: 44.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.12 : 53.76 = 32.64 : x
  2. Step 2: Convert to fraction form
    39.12/53.76 = 32.64/x
  3. Step 3: Cross multiply
    39.12x = 53.76 × 32.64
  4. Step 4: Simplify right side
    39.12x = 1,754.73
  5. Step 5: Solve for x
    x = 1,754.73/39.12
  6. Step 6: Final answer
    x = 44.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.