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Finding the Fourth Proportional to 115.20, 171.67 and 110.14

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Solution

The fourth proportional to 115.20, 171.67 and 110.14 is: 164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.20 : 171.67 = 110.14 : x
  2. Step 2: Convert to fraction form
    115.20/171.67 = 110.14/x
  3. Step 3: Cross multiply
    115.20x = 171.67 × 110.14
  4. Step 4: Simplify right side
    115.20x = 18,907.73
  5. Step 5: Solve for x
    x = 18,907.73/115.20
  6. Step 6: Final answer
    x = 164.13

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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.