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Finding the Fourth Proportional to 116.21, 160.49 and 91.83

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Solution

The fourth proportional to 116.21, 160.49 and 91.83 is: 126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.21 : 160.49 = 91.83 : x
  2. Step 2: Convert to fraction form
    116.21/160.49 = 91.83/x
  3. Step 3: Cross multiply
    116.21x = 160.49 × 91.83
  4. Step 4: Simplify right side
    116.21x = 14,738.03
  5. Step 5: Solve for x
    x = 14,738.03/116.21
  6. Step 6: Final answer
    x = 126.82

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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.