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Finding the Fourth Proportional to 116.17, 174.29 and 108.88

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Solution

The fourth proportional to 116.17, 174.29 and 108.88 is: 163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.17 : 174.29 = 108.88 : x
  2. Step 2: Convert to fraction form
    116.17/174.29 = 108.88/x
  3. Step 3: Cross multiply
    116.17x = 174.29 × 108.88
  4. Step 4: Simplify right side
    116.17x = 18,975.72
  5. Step 5: Solve for x
    x = 18,975.72/116.17
  6. Step 6: Final answer
    x = 163.35

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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.