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Finding the Fourth Proportional to 146.72, 220.50 and 85.86

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Solution

The fourth proportional to 146.72, 220.50 and 85.86 is: 129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.72 : 220.50 = 85.86 : x
  2. Step 2: Convert to fraction form
    146.72/220.50 = 85.86/x
  3. Step 3: Cross multiply
    146.72x = 220.50 × 85.86
  4. Step 4: Simplify right side
    146.72x = 18,932.13
  5. Step 5: Solve for x
    x = 18,932.13/146.72
  6. Step 6: Final answer
    x = 129.04

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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.