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Finding the Fourth Proportional to 116.15, 173.93 and 98.19

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Solution

The fourth proportional to 116.15, 173.93 and 98.19 is: 147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.15 : 173.93 = 98.19 : x
  2. Step 2: Convert to fraction form
    116.15/173.93 = 98.19/x
  3. Step 3: Cross multiply
    116.15x = 173.93 × 98.19
  4. Step 4: Simplify right side
    116.15x = 17,077.70
  5. Step 5: Solve for x
    x = 17,077.70/116.15
  6. Step 6: Final answer
    x = 147.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.