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Finding the Fourth Proportional to 115.97, 174.05 and 75.38

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Solution

The fourth proportional to 115.97, 174.05 and 75.38 is: 113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.97 : 174.05 = 75.38 : x
  2. Step 2: Convert to fraction form
    115.97/174.05 = 75.38/x
  3. Step 3: Cross multiply
    115.97x = 174.05 × 75.38
  4. Step 4: Simplify right side
    115.97x = 13,119.51
  5. Step 5: Solve for x
    x = 13,119.51/115.97
  6. Step 6: Final answer
    x = 113.13

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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.