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Finding the Fourth Proportional to 82.15, 123.19 and 59.25

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Solution

The fourth proportional to 82.15, 123.19 and 59.25 is: 88.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.15 : 123.19 = 59.25 : x
  2. Step 2: Convert to fraction form
    82.15/123.19 = 59.25/x
  3. Step 3: Cross multiply
    82.15x = 123.19 × 59.25
  4. Step 4: Simplify right side
    82.15x = 7,299.01
  5. Step 5: Solve for x
    x = 7,299.01/82.15
  6. Step 6: Final answer
    x = 88.85

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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.