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Finding the Fourth Proportional to 113.63, 171.17 and 106.80

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Solution

The fourth proportional to 113.63, 171.17 and 106.80 is: 160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.63 : 171.17 = 106.80 : x
  2. Step 2: Convert to fraction form
    113.63/171.17 = 106.80/x
  3. Step 3: Cross multiply
    113.63x = 171.17 × 106.80
  4. Step 4: Simplify right side
    113.63x = 18,280.96
  5. Step 5: Solve for x
    x = 18,280.96/113.63
  6. Step 6: Final answer
    x = 160.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.