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Finding the Fourth Proportional to 82.58, 113.85 and 61.79

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Solution

The fourth proportional to 82.58, 113.85 and 61.79 is: 85.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.58 : 113.85 = 61.79 : x
  2. Step 2: Convert to fraction form
    82.58/113.85 = 61.79/x
  3. Step 3: Cross multiply
    82.58x = 113.85 × 61.79
  4. Step 4: Simplify right side
    82.58x = 7,034.22
  5. Step 5: Solve for x
    x = 7,034.22/82.58
  6. Step 6: Final answer
    x = 85.19

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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.