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Finding the Fourth Proportional to 116.97, 174.23 and 115.26

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Solution

The fourth proportional to 116.97, 174.23 and 115.26 is: 171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.97 : 174.23 = 115.26 : x
  2. Step 2: Convert to fraction form
    116.97/174.23 = 115.26/x
  3. Step 3: Cross multiply
    116.97x = 174.23 × 115.26
  4. Step 4: Simplify right side
    116.97x = 20,081.17
  5. Step 5: Solve for x
    x = 20,081.17/116.97
  6. Step 6: Final answer
    x = 171.68

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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.