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Finding the Fourth Proportional to 115.28, 173.82 and 109.36

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Solution

The fourth proportional to 115.28, 173.82 and 109.36 is: 164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.28 : 173.82 = 109.36 : x
  2. Step 2: Convert to fraction form
    115.28/173.82 = 109.36/x
  3. Step 3: Cross multiply
    115.28x = 173.82 × 109.36
  4. Step 4: Simplify right side
    115.28x = 19,008.96
  5. Step 5: Solve for x
    x = 19,008.96/115.28
  6. Step 6: Final answer
    x = 164.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.