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Finding the Fourth Proportional to 147.83, 221.60 and 82.86

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Solution

The fourth proportional to 147.83, 221.60 and 82.86 is: 124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.83 : 221.60 = 82.86 : x
  2. Step 2: Convert to fraction form
    147.83/221.60 = 82.86/x
  3. Step 3: Cross multiply
    147.83x = 221.60 × 82.86
  4. Step 4: Simplify right side
    147.83x = 18,361.78
  5. Step 5: Solve for x
    x = 18,361.78/147.83
  6. Step 6: Final answer
    x = 124.21

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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.