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Finding the Fourth Proportional to 71.94, 108.42 and 64.73

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Solution

The fourth proportional to 71.94, 108.42 and 64.73 is: 97.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.94 : 108.42 = 64.73 : x
  2. Step 2: Convert to fraction form
    71.94/108.42 = 64.73/x
  3. Step 3: Cross multiply
    71.94x = 108.42 × 64.73
  4. Step 4: Simplify right side
    71.94x = 7,017.69
  5. Step 5: Solve for x
    x = 7,017.69/71.94
  6. Step 6: Final answer
    x = 97.55

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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.