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Finding the Fourth Proportional to 82.16, 123.20 and 39.38

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Solution

The fourth proportional to 82.16, 123.20 and 39.38 is: 59.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.16 : 123.20 = 39.38 : x
  2. Step 2: Convert to fraction form
    82.16/123.20 = 39.38/x
  3. Step 3: Cross multiply
    82.16x = 123.20 × 39.38
  4. Step 4: Simplify right side
    82.16x = 4,851.62
  5. Step 5: Solve for x
    x = 4,851.62/82.16
  6. Step 6: Final answer
    x = 59.05

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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.