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Finding the Fourth Proportional to 82.47, 123.02 and 76.09

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Solution

The fourth proportional to 82.47, 123.02 and 76.09 is: 113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.47 : 123.02 = 76.09 : x
  2. Step 2: Convert to fraction form
    82.47/123.02 = 76.09/x
  3. Step 3: Cross multiply
    82.47x = 123.02 × 76.09
  4. Step 4: Simplify right side
    82.47x = 9,360.42
  5. Step 5: Solve for x
    x = 9,360.42/82.47
  6. Step 6: Final answer
    x = 113.50

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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.