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Finding the Fourth Proportional to 116.70, 160.97 and 102.12

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Solution

The fourth proportional to 116.70, 160.97 and 102.12 is: 140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.70 : 160.97 = 102.12 : x
  2. Step 2: Convert to fraction form
    116.70/160.97 = 102.12/x
  3. Step 3: Cross multiply
    116.70x = 160.97 × 102.12
  4. Step 4: Simplify right side
    116.70x = 16,437.75
  5. Step 5: Solve for x
    x = 16,437.75/116.70
  6. Step 6: Final answer
    x = 140.85

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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.