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Finding the Fourth Proportional to 102.74, 154.05 and 82.49

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Solution

The fourth proportional to 102.74, 154.05 and 82.49 is: 123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.74 : 154.05 = 82.49 : x
  2. Step 2: Convert to fraction form
    102.74/154.05 = 82.49/x
  3. Step 3: Cross multiply
    102.74x = 154.05 × 82.49
  4. Step 4: Simplify right side
    102.74x = 12,706.81
  5. Step 5: Solve for x
    x = 12,706.81/102.74
  6. Step 6: Final answer
    x = 123.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.