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Finding the Fourth Proportional to 82.74, 123.98 and 53.80

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Solution

The fourth proportional to 82.74, 123.98 and 53.80 is: 80.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.74 : 123.98 = 53.80 : x
  2. Step 2: Convert to fraction form
    82.74/123.98 = 53.80/x
  3. Step 3: Cross multiply
    82.74x = 123.98 × 53.80
  4. Step 4: Simplify right side
    82.74x = 6,670.12
  5. Step 5: Solve for x
    x = 6,670.12/82.74
  6. Step 6: Final answer
    x = 80.62

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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.