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Finding the Fourth Proportional to 64.01, 96.19 and 38.34

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Solution

The fourth proportional to 64.01, 96.19 and 38.34 is: 57.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.01 : 96.19 = 38.34 : x
  2. Step 2: Convert to fraction form
    64.01/96.19 = 38.34/x
  3. Step 3: Cross multiply
    64.01x = 96.19 × 38.34
  4. Step 4: Simplify right side
    64.01x = 3,687.83
  5. Step 5: Solve for x
    x = 3,687.83/64.01
  6. Step 6: Final answer
    x = 57.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.