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Finding the Fourth Proportional to 82.77, 114.04 and 59.41

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Solution

The fourth proportional to 82.77, 114.04 and 59.41 is: 81.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.77 : 114.04 = 59.41 : x
  2. Step 2: Convert to fraction form
    82.77/114.04 = 59.41/x
  3. Step 3: Cross multiply
    82.77x = 114.04 × 59.41
  4. Step 4: Simplify right side
    82.77x = 6,775.12
  5. Step 5: Solve for x
    x = 6,775.12/82.77
  6. Step 6: Final answer
    x = 81.85

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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.