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Finding the Fourth Proportional to 116.06, 160.22 and 76.70

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Solution

The fourth proportional to 116.06, 160.22 and 76.70 is: 105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.06 : 160.22 = 76.70 : x
  2. Step 2: Convert to fraction form
    116.06/160.22 = 76.70/x
  3. Step 3: Cross multiply
    116.06x = 160.22 × 76.70
  4. Step 4: Simplify right side
    116.06x = 12,289.47
  5. Step 5: Solve for x
    x = 12,289.47/116.06
  6. Step 6: Final answer
    x = 105.89

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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.