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Finding the Fourth Proportional to 63.99, 96.02 and 31.47

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Solution

The fourth proportional to 63.99, 96.02 and 31.47 is: 47.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.99 : 96.02 = 31.47 : x
  2. Step 2: Convert to fraction form
    63.99/96.02 = 31.47/x
  3. Step 3: Cross multiply
    63.99x = 96.02 × 31.47
  4. Step 4: Simplify right side
    63.99x = 3,021.59
  5. Step 5: Solve for x
    x = 3,021.59/63.99
  6. Step 6: Final answer
    x = 47.22

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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.