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Finding the Fourth Proportional to 113.85, 170.82 and 40.75

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Solution

The fourth proportional to 113.85, 170.82 and 40.75 is: 61.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.85 : 170.82 = 40.75 : x
  2. Step 2: Convert to fraction form
    113.85/170.82 = 40.75/x
  3. Step 3: Cross multiply
    113.85x = 170.82 × 40.75
  4. Step 4: Simplify right side
    113.85x = 6,960.49
  5. Step 5: Solve for x
    x = 6,960.49/113.85
  6. Step 6: Final answer
    x = 61.14

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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.