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Finding the Fourth Proportional to 64.07, 95.96 and 31.94

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Solution

The fourth proportional to 64.07, 95.96 and 31.94 is: 47.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.07 : 95.96 = 31.94 : x
  2. Step 2: Convert to fraction form
    64.07/95.96 = 31.94/x
  3. Step 3: Cross multiply
    64.07x = 95.96 × 31.94
  4. Step 4: Simplify right side
    64.07x = 3,064.96
  5. Step 5: Solve for x
    x = 3,064.96/64.07
  6. Step 6: Final answer
    x = 47.84

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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.