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Finding the Fourth Proportional to 146.82, 220.14 and 55.46

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Solution

The fourth proportional to 146.82, 220.14 and 55.46 is: 83.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.82 : 220.14 = 55.46 : x
  2. Step 2: Convert to fraction form
    146.82/220.14 = 55.46/x
  3. Step 3: Cross multiply
    146.82x = 220.14 × 55.46
  4. Step 4: Simplify right side
    146.82x = 12,208.96
  5. Step 5: Solve for x
    x = 12,208.96/146.82
  6. Step 6: Final answer
    x = 83.16

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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.