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Finding the Fourth Proportional to 89.72, 134.66 and 64.11

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Solution

The fourth proportional to 89.72, 134.66 and 64.11 is: 96.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.72 : 134.66 = 64.11 : x
  2. Step 2: Convert to fraction form
    89.72/134.66 = 64.11/x
  3. Step 3: Cross multiply
    89.72x = 134.66 × 64.11
  4. Step 4: Simplify right side
    89.72x = 8,632.73
  5. Step 5: Solve for x
    x = 8,632.73/89.72
  6. Step 6: Final answer
    x = 96.22

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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.