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Finding the Fourth Proportional to 118.23, 176.10 and 110.73

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Solution

The fourth proportional to 118.23, 176.10 and 110.73 is: 164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.23 : 176.10 = 110.73 : x
  2. Step 2: Convert to fraction form
    118.23/176.10 = 110.73/x
  3. Step 3: Cross multiply
    118.23x = 176.10 × 110.73
  4. Step 4: Simplify right side
    118.23x = 19,499.55
  5. Step 5: Solve for x
    x = 19,499.55/118.23
  6. Step 6: Final answer
    x = 164.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.