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Finding the Fourth Proportional to 96.81, 133.52 and 64.11

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Solution

The fourth proportional to 96.81, 133.52 and 64.11 is: 88.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.81 : 133.52 = 64.11 : x
  2. Step 2: Convert to fraction form
    96.81/133.52 = 64.11/x
  3. Step 3: Cross multiply
    96.81x = 133.52 × 64.11
  4. Step 4: Simplify right side
    96.81x = 8,559.65
  5. Step 5: Solve for x
    x = 8,559.65/96.81
  6. Step 6: Final answer
    x = 88.42

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Why These Related Problems?

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