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Finding the Fourth Proportional to 64.73, 89.37 and 58.56

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Solution

The fourth proportional to 64.73, 89.37 and 58.56 is: 80.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.73 : 89.37 = 58.56 : x
  2. Step 2: Convert to fraction form
    64.73/89.37 = 58.56/x
  3. Step 3: Cross multiply
    64.73x = 89.37 × 58.56
  4. Step 4: Simplify right side
    64.73x = 5,233.51
  5. Step 5: Solve for x
    x = 5,233.51/64.73
  6. Step 6: Final answer
    x = 80.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.