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Finding the Fourth Proportional to 80.08, 119.84 and 70.32

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Solution

The fourth proportional to 80.08, 119.84 and 70.32 is: 105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.08 : 119.84 = 70.32 : x
  2. Step 2: Convert to fraction form
    80.08/119.84 = 70.32/x
  3. Step 3: Cross multiply
    80.08x = 119.84 × 70.32
  4. Step 4: Simplify right side
    80.08x = 8,427.15
  5. Step 5: Solve for x
    x = 8,427.15/80.08
  6. Step 6: Final answer
    x = 105.23

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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.