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Finding the Fourth Proportional to 116.46, 160.72 and 67.34

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Solution

The fourth proportional to 116.46, 160.72 and 67.34 is: 92.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.46 : 160.72 = 67.34 : x
  2. Step 2: Convert to fraction form
    116.46/160.72 = 67.34/x
  3. Step 3: Cross multiply
    116.46x = 160.72 × 67.34
  4. Step 4: Simplify right side
    116.46x = 10,822.88
  5. Step 5: Solve for x
    x = 10,822.88/116.46
  6. Step 6: Final answer
    x = 92.93

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