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Finding the Fourth Proportional to 115.77, 173.40 and 91.22

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Solution

The fourth proportional to 115.77, 173.40 and 91.22 is: 136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.77 : 173.40 = 91.22 : x
  2. Step 2: Convert to fraction form
    115.77/173.40 = 91.22/x
  3. Step 3: Cross multiply
    115.77x = 173.40 × 91.22
  4. Step 4: Simplify right side
    115.77x = 15,817.64
  5. Step 5: Solve for x
    x = 15,817.64/115.77
  6. Step 6: Final answer
    x = 136.63

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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.