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Finding the Fourth Proportional to 139.42, 209.19 and 114.06

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Solution

The fourth proportional to 139.42, 209.19 and 114.06 is: 171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.42 : 209.19 = 114.06 : x
  2. Step 2: Convert to fraction form
    139.42/209.19 = 114.06/x
  3. Step 3: Cross multiply
    139.42x = 209.19 × 114.06
  4. Step 4: Simplify right side
    139.42x = 23,860.21
  5. Step 5: Solve for x
    x = 23,860.21/139.42
  6. Step 6: Final answer
    x = 171.14

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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.