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Finding the Fourth Proportional to 116.75, 175.26 and 97.72

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Solution

The fourth proportional to 116.75, 175.26 and 97.72 is: 146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.75 : 175.26 = 97.72 : x
  2. Step 2: Convert to fraction form
    116.75/175.26 = 97.72/x
  3. Step 3: Cross multiply
    116.75x = 175.26 × 97.72
  4. Step 4: Simplify right side
    116.75x = 17,126.41
  5. Step 5: Solve for x
    x = 17,126.41/116.75
  6. Step 6: Final answer
    x = 146.69

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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.