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Finding the Fourth Proportional to 115.73, 174.41 and 110.24

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Solution

The fourth proportional to 115.73, 174.41 and 110.24 is: 166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.73 : 174.41 = 110.24 : x
  2. Step 2: Convert to fraction form
    115.73/174.41 = 110.24/x
  3. Step 3: Cross multiply
    115.73x = 174.41 × 110.24
  4. Step 4: Simplify right side
    115.73x = 19,226.41
  5. Step 5: Solve for x
    x = 19,226.41/115.73
  6. Step 6: Final answer
    x = 166.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.