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Finding the Fourth Proportional to 116.57, 160.80 and 79.71

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Solution

The fourth proportional to 116.57, 160.80 and 79.71 is: 109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.57 : 160.80 = 79.71 : x
  2. Step 2: Convert to fraction form
    116.57/160.80 = 79.71/x
  3. Step 3: Cross multiply
    116.57x = 160.80 × 79.71
  4. Step 4: Simplify right side
    116.57x = 12,817.37
  5. Step 5: Solve for x
    x = 12,817.37/116.57
  6. Step 6: Final answer
    x = 109.95

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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.