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Finding the Fourth Proportional to 139.81, 209.73 and 42.31

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Solution

The fourth proportional to 139.81, 209.73 and 42.31 is: 63.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.81 : 209.73 = 42.31 : x
  2. Step 2: Convert to fraction form
    139.81/209.73 = 42.31/x
  3. Step 3: Cross multiply
    139.81x = 209.73 × 42.31
  4. Step 4: Simplify right side
    139.81x = 8,873.50
  5. Step 5: Solve for x
    x = 8,873.50/139.81
  6. Step 6: Final answer
    x = 63.47

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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.