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Finding the Fourth Proportional to 139.79, 209.54 and 48.41

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Solution

The fourth proportional to 139.79, 209.54 and 48.41 is: 72.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.79 : 209.54 = 48.41 : x
  2. Step 2: Convert to fraction form
    139.79/209.54 = 48.41/x
  3. Step 3: Cross multiply
    139.79x = 209.54 × 48.41
  4. Step 4: Simplify right side
    139.79x = 10,144.36
  5. Step 5: Solve for x
    x = 10,144.36/139.79
  6. Step 6: Final answer
    x = 72.57

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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.