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Finding the Fourth Proportional to 116.84, 173.99 and 113.81

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Solution

The fourth proportional to 116.84, 173.99 and 113.81 is: 169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.84 : 173.99 = 113.81 : x
  2. Step 2: Convert to fraction form
    116.84/173.99 = 113.81/x
  3. Step 3: Cross multiply
    116.84x = 173.99 × 113.81
  4. Step 4: Simplify right side
    116.84x = 19,801.22
  5. Step 5: Solve for x
    x = 19,801.22/116.84
  6. Step 6: Final answer
    x = 169.47

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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.