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Finding the Fourth Proportional to 82.75, 114.25 and 55.15

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Solution

The fourth proportional to 82.75, 114.25 and 55.15 is: 76.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.75 : 114.25 = 55.15 : x
  2. Step 2: Convert to fraction form
    82.75/114.25 = 55.15/x
  3. Step 3: Cross multiply
    82.75x = 114.25 × 55.15
  4. Step 4: Simplify right side
    82.75x = 6,301.03
  5. Step 5: Solve for x
    x = 6,301.03/82.75
  6. Step 6: Final answer
    x = 76.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.