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Finding the Fourth Proportional to 116.28, 174.15 and 98.19

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Solution

The fourth proportional to 116.28, 174.15 and 98.19 is: 147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.28 : 174.15 = 98.19 : x
  2. Step 2: Convert to fraction form
    116.28/174.15 = 98.19/x
  3. Step 3: Cross multiply
    116.28x = 174.15 × 98.19
  4. Step 4: Simplify right side
    116.28x = 17,099.79
  5. Step 5: Solve for x
    x = 17,099.79/116.28
  6. Step 6: Final answer
    x = 147.06

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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.