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Finding the Fourth Proportional to 82.80, 114.24 and 49.59

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Solution

The fourth proportional to 82.80, 114.24 and 49.59 is: 68.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.80 : 114.24 = 49.59 : x
  2. Step 2: Convert to fraction form
    82.80/114.24 = 49.59/x
  3. Step 3: Cross multiply
    82.80x = 114.24 × 49.59
  4. Step 4: Simplify right side
    82.80x = 5,665.16
  5. Step 5: Solve for x
    x = 5,665.16/82.80
  6. Step 6: Final answer
    x = 68.42

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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.