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Finding the Fourth Proportional to 82.80, 123.63 and 72.96

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Solution

The fourth proportional to 82.80, 123.63 and 72.96 is: 108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.80 : 123.63 = 72.96 : x
  2. Step 2: Convert to fraction form
    82.80/123.63 = 72.96/x
  3. Step 3: Cross multiply
    82.80x = 123.63 × 72.96
  4. Step 4: Simplify right side
    82.80x = 9,020.04
  5. Step 5: Solve for x
    x = 9,020.04/82.80
  6. Step 6: Final answer
    x = 108.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.