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Finding the Fourth Proportional to 146.85, 220.35 and 98.13

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Solution

The fourth proportional to 146.85, 220.35 and 98.13 is: 147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.85 : 220.35 = 98.13 : x
  2. Step 2: Convert to fraction form
    146.85/220.35 = 98.13/x
  3. Step 3: Cross multiply
    146.85x = 220.35 × 98.13
  4. Step 4: Simplify right side
    146.85x = 21,622.90
  5. Step 5: Solve for x
    x = 21,622.90/146.85
  6. Step 6: Final answer
    x = 147.25

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