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Finding the Fourth Proportional to 116.41, 160.66 and 66.63

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Solution

The fourth proportional to 116.41, 160.66 and 66.63 is: 91.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.41 : 160.66 = 66.63 : x
  2. Step 2: Convert to fraction form
    116.41/160.66 = 66.63/x
  3. Step 3: Cross multiply
    116.41x = 160.66 × 66.63
  4. Step 4: Simplify right side
    116.41x = 10,704.63
  5. Step 5: Solve for x
    x = 10,704.63/116.41
  6. Step 6: Final answer
    x = 91.95

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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.