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Finding the Fourth Proportional to 146.57, 219.83 and 43.83

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Solution

The fourth proportional to 146.57, 219.83 and 43.83 is: 65.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 219.83 = 43.83 : x
  2. Step 2: Convert to fraction form
    146.57/219.83 = 43.83/x
  3. Step 3: Cross multiply
    146.57x = 219.83 × 43.83
  4. Step 4: Simplify right side
    146.57x = 9,634.93
  5. Step 5: Solve for x
    x = 9,634.93/146.57
  6. Step 6: Final answer
    x = 65.74

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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.