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Finding the Fourth Proportional to 116.31, 173.22 and 110.10

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Solution

The fourth proportional to 116.31, 173.22 and 110.10 is: 163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.31 : 173.22 = 110.10 : x
  2. Step 2: Convert to fraction form
    116.31/173.22 = 110.10/x
  3. Step 3: Cross multiply
    116.31x = 173.22 × 110.10
  4. Step 4: Simplify right side
    116.31x = 19,071.52
  5. Step 5: Solve for x
    x = 19,071.52/116.31
  6. Step 6: Final answer
    x = 163.97

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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.