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Finding the Fourth Proportional to 139.72, 210.12 and 112.72

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Solution

The fourth proportional to 139.72, 210.12 and 112.72 is: 169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.72 : 210.12 = 112.72 : x
  2. Step 2: Convert to fraction form
    139.72/210.12 = 112.72/x
  3. Step 3: Cross multiply
    139.72x = 210.12 × 112.72
  4. Step 4: Simplify right side
    139.72x = 23,684.73
  5. Step 5: Solve for x
    x = 23,684.73/139.72
  6. Step 6: Final answer
    x = 169.52

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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.