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Finding the Fourth Proportional to 116.54, 173.88 and 100.34

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Solution

The fourth proportional to 116.54, 173.88 and 100.34 is: 149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.54 : 173.88 = 100.34 : x
  2. Step 2: Convert to fraction form
    116.54/173.88 = 100.34/x
  3. Step 3: Cross multiply
    116.54x = 173.88 × 100.34
  4. Step 4: Simplify right side
    116.54x = 17,447.12
  5. Step 5: Solve for x
    x = 17,447.12/116.54
  6. Step 6: Final answer
    x = 149.71

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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.