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Finding the Fourth Proportional to 116.99, 175.39 and 106.95

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Solution

The fourth proportional to 116.99, 175.39 and 106.95 is: 160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.99 : 175.39 = 106.95 : x
  2. Step 2: Convert to fraction form
    116.99/175.39 = 106.95/x
  3. Step 3: Cross multiply
    116.99x = 175.39 × 106.95
  4. Step 4: Simplify right side
    116.99x = 18,757.69
  5. Step 5: Solve for x
    x = 18,757.69/116.99
  6. Step 6: Final answer
    x = 160.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.