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Finding the Fourth Proportional to 82.75, 124.18 and 42.20

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Solution

The fourth proportional to 82.75, 124.18 and 42.20 is: 63.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.75 : 124.18 = 42.20 : x
  2. Step 2: Convert to fraction form
    82.75/124.18 = 42.20/x
  3. Step 3: Cross multiply
    82.75x = 124.18 × 42.20
  4. Step 4: Simplify right side
    82.75x = 5,240.02
  5. Step 5: Solve for x
    x = 5,240.02/82.75
  6. Step 6: Final answer
    x = 63.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.