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Finding the Fourth Proportional to 139.24, 209.04 and 75.16

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Solution

The fourth proportional to 139.24, 209.04 and 75.16 is: 112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.24 : 209.04 = 75.16 : x
  2. Step 2: Convert to fraction form
    139.24/209.04 = 75.16/x
  3. Step 3: Cross multiply
    139.24x = 209.04 × 75.16
  4. Step 4: Simplify right side
    139.24x = 15,711.45
  5. Step 5: Solve for x
    x = 15,711.45/139.24
  6. Step 6: Final answer
    x = 112.84

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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.