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Finding the Fourth Proportional to 139.64, 209.32 and 75.38

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Solution

The fourth proportional to 139.64, 209.32 and 75.38 is: 112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.64 : 209.32 = 75.38 : x
  2. Step 2: Convert to fraction form
    139.64/209.32 = 75.38/x
  3. Step 3: Cross multiply
    139.64x = 209.32 × 75.38
  4. Step 4: Simplify right side
    139.64x = 15,777.31
  5. Step 5: Solve for x
    x = 15,777.31/139.64
  6. Step 6: Final answer
    x = 112.99

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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.