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Finding the Fourth Proportional to 113.96, 157.23 and 67.30

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Solution

The fourth proportional to 113.96, 157.23 and 67.30 is: 92.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.96 : 157.23 = 67.30 : x
  2. Step 2: Convert to fraction form
    113.96/157.23 = 67.30/x
  3. Step 3: Cross multiply
    113.96x = 157.23 × 67.30
  4. Step 4: Simplify right side
    113.96x = 10,581.14
  5. Step 5: Solve for x
    x = 10,581.14/113.96
  6. Step 6: Final answer
    x = 92.85

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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.