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Finding the Fourth Proportional to 96.85, 133.53 and 64.09

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Solution

The fourth proportional to 96.85, 133.53 and 64.09 is: 88.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.85 : 133.53 = 64.09 : x
  2. Step 2: Convert to fraction form
    96.85/133.53 = 64.09/x
  3. Step 3: Cross multiply
    96.85x = 133.53 × 64.09
  4. Step 4: Simplify right side
    96.85x = 8,557.94
  5. Step 5: Solve for x
    x = 8,557.94/96.85
  6. Step 6: Final answer
    x = 88.36

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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.