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Finding the Fourth Proportional to 116.37, 173.61 and 110.70

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Solution

The fourth proportional to 116.37, 173.61 and 110.70 is: 165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.37 : 173.61 = 110.70 : x
  2. Step 2: Convert to fraction form
    116.37/173.61 = 110.70/x
  3. Step 3: Cross multiply
    116.37x = 173.61 × 110.70
  4. Step 4: Simplify right side
    116.37x = 19,218.63
  5. Step 5: Solve for x
    x = 19,218.63/116.37
  6. Step 6: Final answer
    x = 165.15

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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.