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Finding the Fourth Proportional to 39.96, 54.89 and 35.64

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Solution

The fourth proportional to 39.96, 54.89 and 35.64 is: 48.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.96 : 54.89 = 35.64 : x
  2. Step 2: Convert to fraction form
    39.96/54.89 = 35.64/x
  3. Step 3: Cross multiply
    39.96x = 54.89 × 35.64
  4. Step 4: Simplify right side
    39.96x = 1,956.28
  5. Step 5: Solve for x
    x = 1,956.28/39.96
  6. Step 6: Final answer
    x = 48.96

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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.