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Finding the Fourth Proportional to 139.84, 208.91 and 121.24

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Solution

The fourth proportional to 139.84, 208.91 and 121.24 is: 181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.84 : 208.91 = 121.24 : x
  2. Step 2: Convert to fraction form
    139.84/208.91 = 121.24/x
  3. Step 3: Cross multiply
    139.84x = 208.91 × 121.24
  4. Step 4: Simplify right side
    139.84x = 25,328.25
  5. Step 5: Solve for x
    x = 25,328.25/139.84
  6. Step 6: Final answer
    x = 181.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.