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Finding the Fourth Proportional to 82.56, 123.72 and 58.52

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Solution

The fourth proportional to 82.56, 123.72 and 58.52 is: 87.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.56 : 123.72 = 58.52 : x
  2. Step 2: Convert to fraction form
    82.56/123.72 = 58.52/x
  3. Step 3: Cross multiply
    82.56x = 123.72 × 58.52
  4. Step 4: Simplify right side
    82.56x = 7,240.09
  5. Step 5: Solve for x
    x = 7,240.09/82.56
  6. Step 6: Final answer
    x = 87.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.