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Finding the Fourth Proportional to 82.37, 123.46 and 55.37

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Solution

The fourth proportional to 82.37, 123.46 and 55.37 is: 82.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.37 : 123.46 = 55.37 : x
  2. Step 2: Convert to fraction form
    82.37/123.46 = 55.37/x
  3. Step 3: Cross multiply
    82.37x = 123.46 × 55.37
  4. Step 4: Simplify right side
    82.37x = 6,835.98
  5. Step 5: Solve for x
    x = 6,835.98/82.37
  6. Step 6: Final answer
    x = 82.99

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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.