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Finding the Fourth Proportional to 139.95, 209.54 and 105.61

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Solution

The fourth proportional to 139.95, 209.54 and 105.61 is: 158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.95 : 209.54 = 105.61 : x
  2. Step 2: Convert to fraction form
    139.95/209.54 = 105.61/x
  3. Step 3: Cross multiply
    139.95x = 209.54 × 105.61
  4. Step 4: Simplify right side
    139.95x = 22,127.94
  5. Step 5: Solve for x
    x = 22,127.94/139.95
  6. Step 6: Final answer
    x = 158.11

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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.