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Finding the Fourth Proportional to 116.14, 160.26 and 67

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Solution

The fourth proportional to 116.14, 160.26 and 67 is: 92.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.14 : 160.26 = 67 : x
  2. Step 2: Convert to fraction form
    116.14/160.26 = 67/x
  3. Step 3: Cross multiply
    116.14x = 160.26 × 67
  4. Step 4: Simplify right side
    116.14x = 10,737.42
  5. Step 5: Solve for x
    x = 10,737.42/116.14
  6. Step 6: Final answer
    x = 92.45

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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.