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Finding the Fourth Proportional to 116.58, 160.89 and 67.47

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Solution

The fourth proportional to 116.58, 160.89 and 67.47 is: 93.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.58 : 160.89 = 67.47 : x
  2. Step 2: Convert to fraction form
    116.58/160.89 = 67.47/x
  3. Step 3: Cross multiply
    116.58x = 160.89 × 67.47
  4. Step 4: Simplify right side
    116.58x = 10,855.25
  5. Step 5: Solve for x
    x = 10,855.25/116.58
  6. Step 6: Final answer
    x = 93.11

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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.