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Finding the Fourth Proportional to 139.66, 209.50 and 43.46

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Solution

The fourth proportional to 139.66, 209.50 and 43.46 is: 65.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.66 : 209.50 = 43.46 : x
  2. Step 2: Convert to fraction form
    139.66/209.50 = 43.46/x
  3. Step 3: Cross multiply
    139.66x = 209.50 × 43.46
  4. Step 4: Simplify right side
    139.66x = 9,104.87
  5. Step 5: Solve for x
    x = 9,104.87/139.66
  6. Step 6: Final answer
    x = 65.19

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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.