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Finding the Fourth Proportional to 146.66, 220.87 and 110.84

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Solution

The fourth proportional to 146.66, 220.87 and 110.84 is: 166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.66 : 220.87 = 110.84 : x
  2. Step 2: Convert to fraction form
    146.66/220.87 = 110.84/x
  3. Step 3: Cross multiply
    146.66x = 220.87 × 110.84
  4. Step 4: Simplify right side
    146.66x = 24,480.26
  5. Step 5: Solve for x
    x = 24,480.26/146.66
  6. Step 6: Final answer
    x = 166.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.