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Finding the Fourth Proportional to 115.26, 171.54 and 110.25

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Solution

The fourth proportional to 115.26, 171.54 and 110.25 is: 164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.26 : 171.54 = 110.25 : x
  2. Step 2: Convert to fraction form
    115.26/171.54 = 110.25/x
  3. Step 3: Cross multiply
    115.26x = 171.54 × 110.25
  4. Step 4: Simplify right side
    115.26x = 18,912.29
  5. Step 5: Solve for x
    x = 18,912.29/115.26
  6. Step 6: Final answer
    x = 164.08

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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.