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Finding the Fourth Proportional to 82.02, 123.14 and 76.15

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Solution

The fourth proportional to 82.02, 123.14 and 76.15 is: 114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.02 : 123.14 = 76.15 : x
  2. Step 2: Convert to fraction form
    82.02/123.14 = 76.15/x
  3. Step 3: Cross multiply
    82.02x = 123.14 × 76.15
  4. Step 4: Simplify right side
    82.02x = 9,377.11
  5. Step 5: Solve for x
    x = 9,377.11/82.02
  6. Step 6: Final answer
    x = 114.33

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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.