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Finding the Fourth Proportional to 64.33, 96.93 and 53.73

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Solution

The fourth proportional to 64.33, 96.93 and 53.73 is: 80.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.33 : 96.93 = 53.73 : x
  2. Step 2: Convert to fraction form
    64.33/96.93 = 53.73/x
  3. Step 3: Cross multiply
    64.33x = 96.93 × 53.73
  4. Step 4: Simplify right side
    64.33x = 5,208.05
  5. Step 5: Solve for x
    x = 5,208.05/64.33
  6. Step 6: Final answer
    x = 80.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.