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Finding the Fourth Proportional to 82.66, 123.73 and 63.47

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Solution

The fourth proportional to 82.66, 123.73 and 63.47 is: 95.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.66 : 123.73 = 63.47 : x
  2. Step 2: Convert to fraction form
    82.66/123.73 = 63.47/x
  3. Step 3: Cross multiply
    82.66x = 123.73 × 63.47
  4. Step 4: Simplify right side
    82.66x = 7,853.14
  5. Step 5: Solve for x
    x = 7,853.14/82.66
  6. Step 6: Final answer
    x = 95.01

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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.