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Finding the Fourth Proportional to 116.45, 173.82 and 102.78

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Solution

The fourth proportional to 116.45, 173.82 and 102.78 is: 153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.45 : 173.82 = 102.78 : x
  2. Step 2: Convert to fraction form
    116.45/173.82 = 102.78/x
  3. Step 3: Cross multiply
    116.45x = 173.82 × 102.78
  4. Step 4: Simplify right side
    116.45x = 17,865.22
  5. Step 5: Solve for x
    x = 17,865.22/116.45
  6. Step 6: Final answer
    x = 153.42

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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.