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Finding the Fourth Proportional to 113.91, 157.22 and 106.96

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Solution

The fourth proportional to 113.91, 157.22 and 106.96 is: 147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.91 : 157.22 = 106.96 : x
  2. Step 2: Convert to fraction form
    113.91/157.22 = 106.96/x
  3. Step 3: Cross multiply
    113.91x = 157.22 × 106.96
  4. Step 4: Simplify right side
    113.91x = 16,816.25
  5. Step 5: Solve for x
    x = 16,816.25/113.91
  6. Step 6: Final answer
    x = 147.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.