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Finding the Fourth Proportional to 116.54, 160.81 and 66.74

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Solution

The fourth proportional to 116.54, 160.81 and 66.74 is: 92.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.54 : 160.81 = 66.74 : x
  2. Step 2: Convert to fraction form
    116.54/160.81 = 66.74/x
  3. Step 3: Cross multiply
    116.54x = 160.81 × 66.74
  4. Step 4: Simplify right side
    116.54x = 10,732.75
  5. Step 5: Solve for x
    x = 10,732.75/116.54
  6. Step 6: Final answer
    x = 92.10

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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.