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Finding the Fourth Proportional to 116.56, 160.39 and 113.86

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Solution

The fourth proportional to 116.56, 160.39 and 113.86 is: 156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.56 : 160.39 = 113.86 : x
  2. Step 2: Convert to fraction form
    116.56/160.39 = 113.86/x
  3. Step 3: Cross multiply
    116.56x = 160.39 × 113.86
  4. Step 4: Simplify right side
    116.56x = 18,262.01
  5. Step 5: Solve for x
    x = 18,262.01/116.56
  6. Step 6: Final answer
    x = 156.67

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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.