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Finding the Fourth Proportional to 146.86, 219.66 and 85.84

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Solution

The fourth proportional to 146.86, 219.66 and 85.84 is: 128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.86 : 219.66 = 85.84 : x
  2. Step 2: Convert to fraction form
    146.86/219.66 = 85.84/x
  3. Step 3: Cross multiply
    146.86x = 219.66 × 85.84
  4. Step 4: Simplify right side
    146.86x = 18,855.61
  5. Step 5: Solve for x
    x = 18,855.61/146.86
  6. Step 6: Final answer
    x = 128.39

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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.