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Finding the Fourth Proportional to 118.94, 163.53 and 96.53

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Solution

The fourth proportional to 118.94, 163.53 and 96.53 is: 132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.94 : 163.53 = 96.53 : x
  2. Step 2: Convert to fraction form
    118.94/163.53 = 96.53/x
  3. Step 3: Cross multiply
    118.94x = 163.53 × 96.53
  4. Step 4: Simplify right side
    118.94x = 15,784.73
  5. Step 5: Solve for x
    x = 15,784.73/118.94
  6. Step 6: Final answer
    x = 132.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.