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Finding the Fourth Proportional to 460.57, 690.85 and 113.91

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Solution

The fourth proportional to 460.57, 690.85 and 113.91 is: 170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.57 : 690.85 = 113.91 : x
  2. Step 2: Convert to fraction form
    460.57/690.85 = 113.91/x
  3. Step 3: Cross multiply
    460.57x = 690.85 × 113.91
  4. Step 4: Simplify right side
    460.57x = 78,690.70
  5. Step 5: Solve for x
    x = 78,690.70/460.57
  6. Step 6: Final answer
    x = 170.86

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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.