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Finding the Fourth Proportional to 113.69, 170.31 and 75.08

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Solution

The fourth proportional to 113.69, 170.31 and 75.08 is: 112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.69 : 170.31 = 75.08 : x
  2. Step 2: Convert to fraction form
    113.69/170.31 = 75.08/x
  3. Step 3: Cross multiply
    113.69x = 170.31 × 75.08
  4. Step 4: Simplify right side
    113.69x = 12,786.87
  5. Step 5: Solve for x
    x = 12,786.87/113.69
  6. Step 6: Final answer
    x = 112.47

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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.