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Finding the Fourth Proportional to 146.92, 220.33 and 69.75

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Solution

The fourth proportional to 146.92, 220.33 and 69.75 is: 104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.92 : 220.33 = 69.75 : x
  2. Step 2: Convert to fraction form
    146.92/220.33 = 69.75/x
  3. Step 3: Cross multiply
    146.92x = 220.33 × 69.75
  4. Step 4: Simplify right side
    146.92x = 15,368.53
  5. Step 5: Solve for x
    x = 15,368.53/146.92
  6. Step 6: Final answer
    x = 104.60

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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.