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Finding the Fourth Proportional to 116.12, 173.91 and 91.91

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Solution

The fourth proportional to 116.12, 173.91 and 91.91 is: 137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.12 : 173.91 = 91.91 : x
  2. Step 2: Convert to fraction form
    116.12/173.91 = 91.91/x
  3. Step 3: Cross multiply
    116.12x = 173.91 × 91.91
  4. Step 4: Simplify right side
    116.12x = 15,984.07
  5. Step 5: Solve for x
    x = 15,984.07/116.12
  6. Step 6: Final answer
    x = 137.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.