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Finding the Fourth Proportional to 116.75, 175.07 and 84.23

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Solution

The fourth proportional to 116.75, 175.07 and 84.23 is: 126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.75 : 175.07 = 84.23 : x
  2. Step 2: Convert to fraction form
    116.75/175.07 = 84.23/x
  3. Step 3: Cross multiply
    116.75x = 175.07 × 84.23
  4. Step 4: Simplify right side
    116.75x = 14,746.15
  5. Step 5: Solve for x
    x = 14,746.15/116.75
  6. Step 6: Final answer
    x = 126.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.