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Finding the Fourth Proportional to 146.86, 220.32 and 69.91

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Solution

The fourth proportional to 146.86, 220.32 and 69.91 is: 104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.86 : 220.32 = 69.91 : x
  2. Step 2: Convert to fraction form
    146.86/220.32 = 69.91/x
  3. Step 3: Cross multiply
    146.86x = 220.32 × 69.91
  4. Step 4: Simplify right side
    146.86x = 15,403.26
  5. Step 5: Solve for x
    x = 15,403.26/146.86
  6. Step 6: Final answer
    x = 104.88

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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.