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Finding the Fourth Proportional to 82.81, 123.49 and 82.08

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Solution

The fourth proportional to 82.81, 123.49 and 82.08 is: 122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.81 : 123.49 = 82.08 : x
  2. Step 2: Convert to fraction form
    82.81/123.49 = 82.08/x
  3. Step 3: Cross multiply
    82.81x = 123.49 × 82.08
  4. Step 4: Simplify right side
    82.81x = 10,136.06
  5. Step 5: Solve for x
    x = 10,136.06/82.81
  6. Step 6: Final answer
    x = 122.40

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Why These Related Problems?

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