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Finding the Fourth Proportional to 82.55, 113.87 and 58.00

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Solution

The fourth proportional to 82.55, 113.87 and 58.00 is: 80.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.55 : 113.87 = 58.00 : x
  2. Step 2: Convert to fraction form
    82.55/113.87 = 58.00/x
  3. Step 3: Cross multiply
    82.55x = 113.87 × 58.00
  4. Step 4: Simplify right side
    82.55x = 6,604.53
  5. Step 5: Solve for x
    x = 6,604.53/82.55
  6. Step 6: Final answer
    x = 80.00

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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.