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Finding the Fourth Proportional to 116.34, 173.52 and 108.99

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Solution

The fourth proportional to 116.34, 173.52 and 108.99 is: 162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.34 : 173.52 = 108.99 : x
  2. Step 2: Convert to fraction form
    116.34/173.52 = 108.99/x
  3. Step 3: Cross multiply
    116.34x = 173.52 × 108.99
  4. Step 4: Simplify right side
    116.34x = 18,911.94
  5. Step 5: Solve for x
    x = 18,911.94/116.34
  6. Step 6: Final answer
    x = 162.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.