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Finding the Fourth Proportional to 146.13, 218.88 and 92.00

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Solution

The fourth proportional to 146.13, 218.88 and 92.00 is: 137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.13 : 218.88 = 92.00 : x
  2. Step 2: Convert to fraction form
    146.13/218.88 = 92.00/x
  3. Step 3: Cross multiply
    146.13x = 218.88 × 92.00
  4. Step 4: Simplify right side
    146.13x = 20,135.87
  5. Step 5: Solve for x
    x = 20,135.87/146.13
  6. Step 6: Final answer
    x = 137.79

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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.