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Finding the Fourth Proportional to 82.51, 123.04 and 76.74

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Solution

The fourth proportional to 82.51, 123.04 and 76.74 is: 114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.51 : 123.04 = 76.74 : x
  2. Step 2: Convert to fraction form
    82.51/123.04 = 76.74/x
  3. Step 3: Cross multiply
    82.51x = 123.04 × 76.74
  4. Step 4: Simplify right side
    82.51x = 9,442.73
  5. Step 5: Solve for x
    x = 9,442.73/82.51
  6. Step 6: Final answer
    x = 114.44

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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.