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Finding the Fourth Proportional to 116.26, 173.06 and 114.53

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Solution

The fourth proportional to 116.26, 173.06 and 114.53 is: 170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.26 : 173.06 = 114.53 : x
  2. Step 2: Convert to fraction form
    116.26/173.06 = 114.53/x
  3. Step 3: Cross multiply
    116.26x = 173.06 × 114.53
  4. Step 4: Simplify right side
    116.26x = 19,819.12
  5. Step 5: Solve for x
    x = 19,819.12/116.26
  6. Step 6: Final answer
    x = 170.48

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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.