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Finding the Fourth Proportional to 118.26, 176.31 and 109.23

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Solution

The fourth proportional to 118.26, 176.31 and 109.23 is: 162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.26 : 176.31 = 109.23 : x
  2. Step 2: Convert to fraction form
    118.26/176.31 = 109.23/x
  3. Step 3: Cross multiply
    118.26x = 176.31 × 109.23
  4. Step 4: Simplify right side
    118.26x = 19,258.34
  5. Step 5: Solve for x
    x = 19,258.34/118.26
  6. Step 6: Final answer
    x = 162.85

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