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Finding the Fourth Proportional to 139.24, 191.46 and 106.12

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Solution

The fourth proportional to 139.24, 191.46 and 106.12 is: 145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.24 : 191.46 = 106.12 : x
  2. Step 2: Convert to fraction form
    139.24/191.46 = 106.12/x
  3. Step 3: Cross multiply
    139.24x = 191.46 × 106.12
  4. Step 4: Simplify right side
    139.24x = 20,317.74
  5. Step 5: Solve for x
    x = 20,317.74/139.24
  6. Step 6: Final answer
    x = 145.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.