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Finding the Fourth Proportional to 100.24, 150.05 and 80.80

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Solution

The fourth proportional to 100.24, 150.05 and 80.80 is: 120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.24 : 150.05 = 80.80 : x
  2. Step 2: Convert to fraction form
    100.24/150.05 = 80.80/x
  3. Step 3: Cross multiply
    100.24x = 150.05 × 80.80
  4. Step 4: Simplify right side
    100.24x = 12,123.87
  5. Step 5: Solve for x
    x = 12,123.87/100.24
  6. Step 6: Final answer
    x = 120.95

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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.