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Finding the Fourth Proportional to 102.90, 154.14 and 82.56

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Solution

The fourth proportional to 102.90, 154.14 and 82.56 is: 123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.90 : 154.14 = 82.56 : x
  2. Step 2: Convert to fraction form
    102.90/154.14 = 82.56/x
  3. Step 3: Cross multiply
    102.90x = 154.14 × 82.56
  4. Step 4: Simplify right side
    102.90x = 12,725.80
  5. Step 5: Solve for x
    x = 12,725.80/102.90
  6. Step 6: Final answer
    x = 123.67

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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.