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Finding the Fourth Proportional to 146.74, 220.06 and 50.53

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Solution

The fourth proportional to 146.74, 220.06 and 50.53 is: 75.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.74 : 220.06 = 50.53 : x
  2. Step 2: Convert to fraction form
    146.74/220.06 = 50.53/x
  3. Step 3: Cross multiply
    146.74x = 220.06 × 50.53
  4. Step 4: Simplify right side
    146.74x = 11,119.97
  5. Step 5: Solve for x
    x = 11,119.97/146.74
  6. Step 6: Final answer
    x = 75.78

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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.