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Finding the Fourth Proportional to 100.64, 150.81 and 80.12

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Solution

The fourth proportional to 100.64, 150.81 and 80.12 is: 120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.64 : 150.81 = 80.12 : x
  2. Step 2: Convert to fraction form
    100.64/150.81 = 80.12/x
  3. Step 3: Cross multiply
    100.64x = 150.81 × 80.12
  4. Step 4: Simplify right side
    100.64x = 12,082.90
  5. Step 5: Solve for x
    x = 12,082.90/100.64
  6. Step 6: Final answer
    x = 120.06

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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.