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Finding the Fourth Proportional to 146.20, 219.14 and 98.14

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Solution

The fourth proportional to 146.20, 219.14 and 98.14 is: 147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.20 : 219.14 = 98.14 : x
  2. Step 2: Convert to fraction form
    146.20/219.14 = 98.14/x
  3. Step 3: Cross multiply
    146.20x = 219.14 × 98.14
  4. Step 4: Simplify right side
    146.20x = 21,506.40
  5. Step 5: Solve for x
    x = 21,506.40/146.20
  6. Step 6: Final answer
    x = 147.10

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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.