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Finding the Fourth Proportional to 115.73, 173.64 and 61.60

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Solution

The fourth proportional to 115.73, 173.64 and 61.60 is: 92.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.73 : 173.64 = 61.60 : x
  2. Step 2: Convert to fraction form
    115.73/173.64 = 61.60/x
  3. Step 3: Cross multiply
    115.73x = 173.64 × 61.60
  4. Step 4: Simplify right side
    115.73x = 10,696.22
  5. Step 5: Solve for x
    x = 10,696.22/115.73
  6. Step 6: Final answer
    x = 92.42

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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.