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Finding the Fourth Proportional to 116.17, 159.64 and 96.73

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Solution

The fourth proportional to 116.17, 159.64 and 96.73 is: 132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.17 : 159.64 = 96.73 : x
  2. Step 2: Convert to fraction form
    116.17/159.64 = 96.73/x
  3. Step 3: Cross multiply
    116.17x = 159.64 × 96.73
  4. Step 4: Simplify right side
    116.17x = 15,441.34
  5. Step 5: Solve for x
    x = 15,441.34/116.17
  6. Step 6: Final answer
    x = 132.92

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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.