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Finding the Fourth Proportional to 82.72, 123.87 and 53.74

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Solution

The fourth proportional to 82.72, 123.87 and 53.74 is: 80.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.72 : 123.87 = 53.74 : x
  2. Step 2: Convert to fraction form
    82.72/123.87 = 53.74/x
  3. Step 3: Cross multiply
    82.72x = 123.87 × 53.74
  4. Step 4: Simplify right side
    82.72x = 6,657.13
  5. Step 5: Solve for x
    x = 6,657.13/82.72
  6. Step 6: Final answer
    x = 80.48

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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.