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Finding the Fourth Proportional to 63.96, 96.01 and 35.07

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Solution

The fourth proportional to 63.96, 96.01 and 35.07 is: 52.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.96 : 96.01 = 35.07 : x
  2. Step 2: Convert to fraction form
    63.96/96.01 = 35.07/x
  3. Step 3: Cross multiply
    63.96x = 96.01 × 35.07
  4. Step 4: Simplify right side
    63.96x = 3,366.98
  5. Step 5: Solve for x
    x = 3,366.98/63.96
  6. Step 6: Final answer
    x = 52.64

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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.