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Finding the Fourth Proportional to 139.79, 209.72 and 43.60

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Solution

The fourth proportional to 139.79, 209.72 and 43.60 is: 65.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.79 : 209.72 = 43.60 : x
  2. Step 2: Convert to fraction form
    139.79/209.72 = 43.60/x
  3. Step 3: Cross multiply
    139.79x = 209.72 × 43.60
  4. Step 4: Simplify right side
    139.79x = 9,143.38
  5. Step 5: Solve for x
    x = 9,143.38/139.79
  6. Step 6: Final answer
    x = 65.41

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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.