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Finding the Fourth Proportional to 139.96, 209.04 and 111.10

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Solution

The fourth proportional to 139.96, 209.04 and 111.10 is: 165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.96 : 209.04 = 111.10 : x
  2. Step 2: Convert to fraction form
    139.96/209.04 = 111.10/x
  3. Step 3: Cross multiply
    139.96x = 209.04 × 111.10
  4. Step 4: Simplify right side
    139.96x = 23,223.79
  5. Step 5: Solve for x
    x = 23,223.79/139.96
  6. Step 6: Final answer
    x = 165.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.