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Finding the Fourth Proportional to 82.82, 123.53 and 82.01

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Solution

The fourth proportional to 82.82, 123.53 and 82.01 is: 122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.82 : 123.53 = 82.01 : x
  2. Step 2: Convert to fraction form
    82.82/123.53 = 82.01/x
  3. Step 3: Cross multiply
    82.82x = 123.53 × 82.01
  4. Step 4: Simplify right side
    82.82x = 10,130.59
  5. Step 5: Solve for x
    x = 10,130.59/82.82
  6. Step 6: Final answer
    x = 122.32

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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.