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Finding the Fourth Proportional to 113.72, 170.60 and 106.96

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Solution

The fourth proportional to 113.72, 170.60 and 106.96 is: 160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.72 : 170.60 = 106.96 : x
  2. Step 2: Convert to fraction form
    113.72/170.60 = 106.96/x
  3. Step 3: Cross multiply
    113.72x = 170.60 × 106.96
  4. Step 4: Simplify right side
    113.72x = 18,247.38
  5. Step 5: Solve for x
    x = 18,247.38/113.72
  6. Step 6: Final answer
    x = 160.46

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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.