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Finding the Fourth Proportional to 82.46, 123.67 and 53.53

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Solution

The fourth proportional to 82.46, 123.67 and 53.53 is: 80.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.46 : 123.67 = 53.53 : x
  2. Step 2: Convert to fraction form
    82.46/123.67 = 53.53/x
  3. Step 3: Cross multiply
    82.46x = 123.67 × 53.53
  4. Step 4: Simplify right side
    82.46x = 6,620.06
  5. Step 5: Solve for x
    x = 6,620.06/82.46
  6. Step 6: Final answer
    x = 80.28

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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.