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Finding the Fourth Proportional to 64.34, 96.44 and 31.86

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Solution

The fourth proportional to 64.34, 96.44 and 31.86 is: 47.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.34 : 96.44 = 31.86 : x
  2. Step 2: Convert to fraction form
    64.34/96.44 = 31.86/x
  3. Step 3: Cross multiply
    64.34x = 96.44 × 31.86
  4. Step 4: Simplify right side
    64.34x = 3,072.58
  5. Step 5: Solve for x
    x = 3,072.58/64.34
  6. Step 6: Final answer
    x = 47.76

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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.