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Finding the Fourth Proportional to 116.19, 173.18 and 114.75

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Solution

The fourth proportional to 116.19, 173.18 and 114.75 is: 171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.19 : 173.18 = 114.75 : x
  2. Step 2: Convert to fraction form
    116.19/173.18 = 114.75/x
  3. Step 3: Cross multiply
    116.19x = 173.18 × 114.75
  4. Step 4: Simplify right side
    116.19x = 19,872.69
  5. Step 5: Solve for x
    x = 19,872.69/116.19
  6. Step 6: Final answer
    x = 171.04

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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.