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Finding the Fourth Proportional to 82.09, 123.01 and 59.28

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Solution

The fourth proportional to 82.09, 123.01 and 59.28 is: 88.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.09 : 123.01 = 59.28 : x
  2. Step 2: Convert to fraction form
    82.09/123.01 = 59.28/x
  3. Step 3: Cross multiply
    82.09x = 123.01 × 59.28
  4. Step 4: Simplify right side
    82.09x = 7,292.03
  5. Step 5: Solve for x
    x = 7,292.03/82.09
  6. Step 6: Final answer
    x = 88.83

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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.