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Finding the Fourth Proportional to 116.37, 160.61 and 67.25

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Solution

The fourth proportional to 116.37, 160.61 and 67.25 is: 92.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.37 : 160.61 = 67.25 : x
  2. Step 2: Convert to fraction form
    116.37/160.61 = 67.25/x
  3. Step 3: Cross multiply
    116.37x = 160.61 × 67.25
  4. Step 4: Simplify right side
    116.37x = 10,801.02
  5. Step 5: Solve for x
    x = 10,801.02/116.37
  6. Step 6: Final answer
    x = 92.82

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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.